(A/s) Mathematics - Further Oct/Nov 2011 paper 2 variant 3
Question paper found on page 4 / 8 pages total, pdf
A random sample of five metal rods produced by a machine is taken. Each rod is tested for hardness. The results, in suitable units, are as follows. 524 526 520 523 530 Assuming a normal distribution, calculate a 95% confidence interval for the population mean. [5] Some adjustments are made to the machine. Assume that a normal distribution is still appropriate and that the
(A/s) Mathematics - Further Oct/Nov 2011 paper 2 variant 2
Question paper found on page 4 / 8 pages total, pdf
A random sample of five metal rods produced by a machine is taken. Each rod is tested for hardness. The results, in suitable units, are as follows. 524 526 520 523 530 Assuming a normal distribution, calculate a 95% confidence interval for the population mean. [5] Some adjustments are made to the machine. Assume that a normal distribution is still appropriate and that the
(A/s) Mathematics - Further Oct/Nov 2011 paper 2 variant 1
Question paper found on page 4 / 8 pages total, pdf
A random sample of five metal rods produced by a machine is taken. Each rod is tested for hardness. The results, in suitable units, are as follows. 524 526 520 523 530 Assuming a normal distribution, calculate a 95% confidence interval for the population mean. [5] Some adjustments are made to the machine. Assume that a normal distribution is still appropriate and that the
(IGCSE) Physics Oct/Nov 2014 paper 1 variant 3
Question paper found on page 13 / 20 pages total, pdf
The ends of three metal rods are tested by hol ding end Q of rod 1 close to the others in turn. rod 1 rod 2 rod 3 Q R S T U The results are as follows. End Q: attracts end R, attracts end S, attracts end T, repels end U. Which of the metal rods is a magnet? A rod 1 only B rod 1 and rod 2 C
(IGCSE) Physics Oct/Nov 2014 paper 1 variant 1
Question paper found on page 12 / 20 pages total, pdf
The results are as follows. End Q: attracts end R, attracts end S, attracts end T, repels end U. Which of the metal rods is a magnet? A rod 1 only B rod 1 and rod 2 C rod 1 and rod 3 D rod 3 only 27 A permanent magnet is made from metal and an electromagnet uses a metal core. Which metal is suitable for each of these purposes
(A/s) Mathematics - Further Oct/Nov 2009 paper 2
Question paper found on page 3 / 8 pages total, pdf
is checked by measuring the diameters of a random sample of six discs. The diameters, in cm, are as follows. 10.03 10.02 9.98 10.06 10.08 10.01 Calculate a 99% confidence interval for the mean diameter of all discs produced by the machine. [5] Deduce a 99% confidence interval for the mean circumference of all discs produced by the
(A/s) Mathematics May/June 2013 paper 7 variant 2
Question paper found on page 2 / 4 pages total, pdf
is known that 1.2% of rods made by a certain machine are bent . The random variable X denotes the number of bent rods in a random sample of 400 rods. (i) State the distribution of X . [2] (ii) State, with a reason, a suitable approximate distribution f or X . [2] (iii) Use your approximate distribution to find the probability th at the sample
(A/s) Mathematics - Further Oct/Nov 2018 paper 2 variant 3
Question paper found on page 20 / 24 pages total, pdf
A machine is used to produce metal rods. When the machine is working efficiently, the lengths, x cm, of the rods have a normal distribution with mean 150 cm and standard deviation 1.2 cm. The machine is checked regularly by taking random samples of 200 rods. The latest results are shown in the following table. Interval Observed frequency 146 ≤ x < 147 147 ≤ x
(A/s) Mathematics - Further Oct/Nov 2018 paper 2 variant 1
Question paper found on page 20 / 24 pages total, pdf
A machine is used to produce metal rods. When the machine is working efficiently, the lengths, x cm, of the rods have a normal distribution with mean 150 cm and standard deviation 1.2 cm. The machine is checked regularly by taking random samples of 200 rods. The latest results are shown in the following table. Interval Observed frequency 146 ≤ x < 147 147 ≤ x
(IGCSE) Co-ordinated Sciences May/June 2015 paper 6 variant 3
Question paper found on page 16 / 20 pages total, pdf
A student investigates the thermal conduction of five metal rods. The rods are alloys of aluminium and magnesium. Each rod contains a different percentage of magnesium. He sets up the apparatus as shown in Fig. 6.1. The student fills the container with hot water and starts the stopclock. He measures the time taken for the drawing pins to fall off the rods due to the wax melting. He records the times
(A/s) Mathematics Oct/Nov 2017 paper 7 variant 3
Question paper found on page 4 / 12 pages total, pdf
The lengths, in millimetres, of rods produced by a machine are normally distributed with mean - and standard deviation 0.9. A random sample of 75 rods produced by the machine has mean length 300.1 mm. (i) Find a 99% confidence interval for - , giving your answer correct to 2 decimal places. [3] ..........................
(A/s) Mathematics Oct/Nov 2017 paper 7 variant 1
Question paper found on page 4 / 12 pages total, pdf
The lengths, in millimetres, of rods produced by a machine are normally distributed with mean - and standard deviation 0.9. A random sample of 75 rods produced by the machine has mean length 300.1 mm. (i) Find a 99% confidence interval for - , giving your answer correct to 2 decimal places. [3] ..........................
(IGCSE) Physics Oct/Nov 2006 paper 1
Question paper found on page 14 / 20 pages total, pdf
The ends of three metal rods are tested by holding end Q of rod 1 close to the others in turn. rod 1 rod 2 rod 3 Q R S T U The results are as follows. End Q: attracts end R, attracts end S, attracts end T, repels end U. Which of the metal rods is a magnet? A rod 1 only B rod 1 and rod 2 only C
(IGCSE) Physics Oct/Nov 2014 paper 1 variant 2
Question paper found on page 14 / 20 pages total, pdf
D W V 33 The ends of three metal rods are tested by hol ding end Q of rod 1 close to the others in turn. rod 1 rod 2 rod 3 Q R S T U The results are as follows. End Q: attracts end R, attracts end S, attracts end T, repels end U. Which of the metal rods is a magnet? A rod 1 only B rod 1
(A/s) Physics May/June 2015 paper 3 variant 5
Confidential instructions found on page 4 / 8 pages total, pdf
The dimensions for each piece of string are shown in Fig. 2.1. loop loop 45 cm Fig. 2.1 The string loops should fit around the wooden rods. 2 The apparatus should be laid out on the bench. If the apparatus is to be used by another candidate, then it should be restored to its original state. Information required by Examiners Sample set of numerical results, clearly labelled “Supervisor’
(IGCSE) Physics Feb/March 2019 paper 1 variant 2
Question paper found on page 11 / 16 pages total, pdf
of the metal rods is a magnet? A rod 1 only B rod 1 and rod 2 C rod 1 and rod 3 D rod 3 only 28 Which statement about a voltmeter is correct? A A voltmeter measures the current in a component and is connected in series with the component. B A voltmeter measures the current in a component and is connected in parallel with the component. C A voltmeter measures
(A/s) Mathematics - Further Oct/Nov 2016 paper 2 variant 3
Question paper found on page 6 / 8 pages total, pdf
a . The centre of one of the discs is rigidly attached to the end A of the rod and the centre of the other disc is rigidly attached to the end B of the rod. The plane of each disc is perpendicular to the rod AB . A second thin uniform rod OC has mass m and length 2 a . The end C of this rod is rigidly attached to the mid-point
(A/s) Mathematics - Further Oct/Nov 2016 paper 2 variant 2
Question paper found on page 6 / 8 pages total, pdf
a . The centre of one of the discs is rigidly attached to the end A of the rod and the centre of the other disc is rigidly attached to the end B of the rod. The plane of each disc is perpendicular to the rod AB . A second thin uniform rod OC has mass m and length 2 a . The end C of this rod is rigidly attached to the mid-point
(A/s) Mathematics - Further Oct/Nov 2016 paper 2 variant 1
Question paper found on page 6 / 8 pages total, pdf
a . The centre of one of the discs is rigidly attached to the end A of the rod and the centre of the other disc is rigidly attached to the end B of the rod. The plane of each disc is perpendicular to the rod AB . A second thin uniform rod OC has mass m and length 2 a . The end C of this rod is rigidly attached to the mid-point
(IGCSE) Physics Feb/March 2019 paper 2 variant 2
Question paper found on page 10 / 16 pages total, pdf
The ends of three metal rods are tested by holding end Q of rod 1 close to the others in turn. R T Q S U rod 1 rod 2 rod 3 The results are as follows. End Q attracts end R. End Q attracts end S. End Q attracts end T. End Q repels end U. Which of the metal rods is a magnet? A rod 1 only B rod 1
(A/s) Mathematics May/June 2018 paper 7 variant 2
Question paper found on page 4 / 12 pages total, pdf
of packets produced by this machine was found to be less than 505 g, so the machine was adjusted. Following the adjustment, the masses of a random sample of 150 packets from the machine were measured and the total mass was found to be 75 660 g. (ii) Given that the population standard deviation is 3.6 g, test at the 2% significance level whether the machine is
(IGCSE) Physics Oct/Nov 2015 paper 1 variant 1
Question paper found on page 7 / 16 pages total, pdf
The rods are heated at one end, in the same way. The table shows the time taken for the temperatur e at the other end of each rod to rise by 1.0 ° C. Which metal is the best conductor of thermal energy (heat)? metal time taken / s P 35 Q 30 R 45 S 40 A metal P B metal Q C metal R D metal S
(A/s) Mathematics - Further May/June 2003 paper 2
Question paper found on page 4 / 8 pages total, pdf
a Poisson distribution to the data, and test its goodness of fit at the 5% level of significance. 8 Optical lenses, produced by two suppliers, A and B , are measured for surface hardness. A random sample of 4 lenses from A has a mean hardness x 1 = 0.84 and s 21 = 0.009, in appropriate units. The corresponding figures for a random sample
(A/s) Mathematics - Further May/June 2012 paper 2 variant 3
Question paper found on page 4 / 8 pages total, pdf
are investigating the speed of the internet connection received by households in two towns P and Q . The speeds, in suitable units, in P and Q are denoted by x and y respectively. For a random sample of 50 houses in town P and a random sample of 40 houses in town Q the results are summarised as follows. Σ x = 240 Σ x 2 = 1224 Σ
(A/s) Mathematics May/June 2014 paper 7 variant 1
Question paper found on page 2 / 4 pages total, pdf
for the population mean score. [5] 3 The lengths, in centimetres, of rods produced in a factory ha ve mean - and standard deviation 0.2. The value of - is supposed to be 250, but a manager claims that one machine is producing rods that are too long on average. A random sample of 40 rods from this ma chine is taken and the sample mean length is found
(A/s) Accounting Oct/Nov 2009 paper 2 variant 2
Question paper found on page 14 / 16 pages total, pdf
is a specialist manufacturer of steel rods for use in the construction industry. The company has three different machines each of which is capable of producing the rods. When a company receives a new order it has to decide which of the three machines to use. Data regarding the machines is as follows: MACHINE Set-up costs per order Number of rods produced per machine-hour Number of machine operators A B C
(IGCSE) Mathematics May/June 2015 paper 3 variant 3
Question paper found on page 15 / 16 pages total, pdf
A manufacturer makes rods. Each day he records the number of rods made and the cost, in dollars, of making each rod. Number of rods 660 340 150 580 280 520 310 480 Cost per rod ($) 2.14 2.22 2.43 2.24 2.41 2.18 2.30 2.28 (a) Complete the scatter diagram. The
(IGCSE) Physics May/June 2013 paper 1 variant 3
Question paper found on page 14 / 20 pages total, pdf
rods are placed end to end inside a coil which is connected to a battery. soft-iron rod soft-iron rod coil The connections from the battery to the coil are now reversed. What happens to the soft-iron rods in each case? battery connections as shown battery connections reversed A rods attract rods attract B rods attract rods repel C rods repel rods attract D rods repel rods repel 26 A student
(A/s) Mathematics - Further Oct/Nov 2014 paper 2 variant 3
Question paper found on page 3 / 8 pages total, pdf
is in a vertical plane perpendicular to the wall. The rod is supported by a light spring CD which is in compression in a vertical line with its lower end D fixed on the floor. The upper end C is attached to the rod at a distance 14 l from B (see diagram). The coefficient of friction at A between the rod and the floor is 13 and the system is in
(A/s) Mathematics - Further Oct/Nov 2014 paper 2 variant 1
Question paper found on page 3 / 8 pages total, pdf
is in a vertical plane perpendicular to the wall. The rod is supported by a light spring CD which is in compression in a vertical line with its lower end D fixed on the floor. The upper end C is attached to the rod at a distance 14 l from B (see diagram). The coefficient of friction at A between the rod and the floor is 13 and the system is in
(A/s) Mathematics - Further Oct/Nov 2014 paper 2 variant 2
Question paper found on page 3 / 8 pages total, pdf
is in a vertical plane perpendicular to the wall. The rod is supported by a light spring CD which is in compression in a vertical line with its lower end D fixed on the floor. The upper end C is attached to the rod at a distance 14 l from B (see diagram). The coefficient of friction at A between the rod and the floor is 13 and the system is in
(IGCSE) Physics May/June 2013 paper 1 variant 1
Question paper found on page 14 / 20 pages total, pdf
rods are placed end to end inside a coil which is connected to a battery. coil soft-iron rod soft-iron rod The connections from the battery to the coil are now reversed. What happens to the soft-iron rods in each case? battery connections as shown battery connections reversed A rods attract rods attract B rods attract rods repel C rods repel rods attract D rods repel rods repel © UCLES 201
(A/s) Mathematics Oct/Nov 2010 paper 7 variant 3
Question paper found on page 2 / 4 pages total, pdf
the views of a random sample of readers about the future of the magazine. (i) A sub-editor proposes that they include in one issue of the ma gazine a questionnaire for readers to complete and return. Give two reasons why the readers who r eturn the questionnaire would not form a random sample. [2] The editor decides to use a table of random numbers to select a random sample of 5
(A/s) Mathematics - Further May/June 2016 paper 2 variant 2
Question paper found on page 3 / 8 pages total, pdf
a score of 6 is obtained. The number of throws taken is denoted by the random variable X . Find the mean of X . [2] Find the least integer N such that the probability of obtaining a score of 6 in fewer than N throws is more than 0.95. [3] 7 A random sample of 9 observations of a normal variable X is taken. The results are summarised as
(A/s) Mathematics - Further May/June 2016 paper 2 variant 1
Question paper found on page 3 / 8 pages total, pdf
a score of 6 is obtained. The number of throws taken is denoted by the random variable X . Find the mean of X . [2] Find the least integer N such that the probability of obtaining a score of 6 in fewer than N throws is more than 0.95. [3] 7 A random sample of 9 observations of a normal variable X is taken. The results are summarised as
(A/s) Physics May/June 2013 paper 3 variant 3
Confidential instructions found on page 5 / 8 pages total, pdf
× 2 cm. The purpose of the modelling clay is to cover the ends of the rods for safety reasons. 3 The apparatus should be laid out on the bench. If it is to be used by another candidate, then it should be restored to its original state. Information required by Examiners Sample set of numerical results, clearly labelled “Supervisor’s Results” and obtained out of sight of the candidates.
(A/s) Physics May/June 2012 paper 5 variant 3
Question paper found on page 2 / 8 pages total, pdf
For Examiner’s Use 1 A fairground ride carries passengers in chairs which are attached by metal rods to a rotating central pole, as shown in Fig 1.1. When the pole rotates with angular velocity ω , the rods make an angle θ to the vertical. θ ω rotating pole metal rod Fig 1.1 It is suggested that cos θ is inversely proportional to ω 2 . Design a laboratory experiment,
(A/s) Physics May/June 2012 paper 5 variant 1
Question paper found on page 2 / 8 pages total, pdf
For Examiner’s Use 1 A fairground ride carries passengers in chairs which are attached by metal rods to a rotating central pole, as shown in Fig 1.1. When the pole rotates with angular velocity ω , the rods make an angle θ to the vertical. θ ω rotating pole metal rod Fig 1.1 It is suggested that cos θ is inversely proportional to ω 2 . Design a laboratory experiment,
(IGCSE) Physics Feb/March 2015 paper 1 variant 2
Question paper found on page 11 / 20 pages total, pdf
A pulse of sound is produced at the bottom of a boat. The sound travels through the water and is reflected from the sea-bed. The sound reaches the boat again after 1.3 s. The sea-bed is 1000 m below the boat. sea-bed boat 1000 m Using this information, what is the speed of sound in the water? A 769 m / s B 13
(IGCSE) Physics Oct/Nov 2013 paper 2 variant 2
Question paper found on page 11 / 16 pages total, pdf
is set a puzzle by his teacher. He is given four rods, A, B, C and D, all painted white. He is told that two rods are permanent magnets, another rod is made of iron and the final rod is made of copper. His teacher asks him to find out, by experiment, which rod is which. Fig. 8.1 shows the results the student obtains when he puts the
(A/s) Mathematics - Further Oct/Nov 2015 paper 2 variant 2
Question paper found on page 5 / 8 pages total, pdf
A random sample of 10 Royal plants is taken and the potatoes from each plant are weighed. The total mass of potatoes on a plant is x kg. The data are summarised as follows. Σ x = 42.0 Σ x 2 = 180.0 A random sample of 12 Majestic plants is taken. The total mass of potatoes on a plant is y kg. The data are summarised as
(A/s) Mathematics - Further Oct/Nov 2015 paper 2 variant 3
Question paper found on page 5 / 8 pages total, pdf
A random sample of 10 Royal plants is taken and the potatoes from each plant are weighed. The total mass of potatoes on a plant is x kg. The data are summarised as follows. Σ x = 42.0 Σ x 2 = 180.0 A random sample of 12 Majestic plants is taken. The total mass of potatoes on a plant is y kg. The data are summarised as
(A/s) Mathematics - Further Oct/Nov 2015 paper 2 variant 1
Question paper found on page 5 / 8 pages total, pdf
A random sample of 10 Royal plants is taken and the potatoes from each plant are weighed. The total mass of potatoes on a plant is x kg. The data are summarised as follows. Σ x = 42.0 Σ x 2 = 180.0 A random sample of 12 Majestic plants is taken. The total mass of potatoes on a plant is y kg. The data are summarised as
(A/s) Mathematics - Further Oct/Nov 2013 paper 2 variant 2
Question paper found on page 5 / 8 pages total, pdf
A factory produces bottles of spring water. The manager decides to assess the performance of the two machines that are used to fill the bottles with water. He selects a random sample of 60 bottles filled by the first machine X and a random sample of 80 bottles filled by the second machine Y . The volumes of water, x and y , measured in appropriate units, are summarised as follows. Σ
(A/s) Mathematics - Further May/June 2019 paper 2 variant 3
Question paper found on page 22 / 24 pages total, pdf
are used to fill the packets. The manager decides to assess the performance of the two machines. He selects a random sample of 50 packets filled by machine A and a random sample of 60 packets filled by machine B . The masses of sweets, x kg, in packets filled by machine A and the masses of sweets, y kg, in packets filled by machine B are summarised as follows. Σ
(IGCSE) Co-ordinated Sciences Oct/Nov 2014 paper 1 variant 2
Question paper found on page 14 / 20 pages total, pdf
rod Y U The N pole of a magnet is brought close, in turn, to P, Q, T and U. The results of these four actions are shown in the table. end tested result P attraction Q attraction T attraction U repulsion Which of the rods is a permanent magnet, with a pole at each end? A both of the rods B neither of the rods C rod X only D
(IGCSE) Co-ordinated Sciences Oct/Nov 2005 paper 1
Question paper found on page 15 / 20 pages total, pdf
rod Y S The N pole of a magnet is brought close, in turn, to each end of both rods. The results of these four actions are shown in the table. end tested result P attraction Q attraction R attraction S repulsion Which of the rods is a magnet? A neither of the rods B both of the rods C rod X only D rod Y only 36 The table shows the
(IGCSE) Co-ordinated Sciences Oct/Nov 2014 paper 1 variant 3
Question paper found on page 14 / 20 pages total, pdf
rod Y U The N pole of a magnet is brought close, in turn, to P, Q, T and U. The results of these four actions are shown in the table. end tested result P attraction Q attraction T attraction U repulsion Which of the rods is a permanent magnet, with a pole at each end? A both of the rods B neither of the rods C rod X only D
(A/s) Mathematics - Further Oct/Nov 2017 paper 2 variant 1
Question paper found on page 21 / 24 pages total, pdf
taken to complete a particular type of logic puzzle at the beginning of the course and at the end of the course are recorded for each person. The time taken, in minutes, at the beginning of the course is denoted by x and the time taken, in minutes, at the end of the course is denoted by y . For a random sample of 9 people, the results are summarised as follows.
(A/s) Mathematics - Further Oct/Nov 2017 paper 2 variant 3
Question paper found on page 21 / 24 pages total, pdf
taken to complete a particular type of logic puzzle at the beginning of the course and at the end of the course are recorded for each person. The time taken, in minutes, at the beginning of the course is denoted by x and the time taken, in minutes, at the end of the course is denoted by y . For a random sample of 9 people, the results are summarised as follows.
(IGCSE) Co-ordinated Sciences Oct/Nov 2013 paper 1 variant 3
Question paper found on page 15 / 20 pages total, pdf
metal rods are 25 cm long at room temperature (20 °C). One rod is put into a freezer at a temperature of –18 °C. The other rod is put into an oven at a temperature of 200 °C. The rods are left for several hours. Which row shows the new length of each rod? length of rod at –18 °C length of rod at 200
(A/s) Mathematics - Further Oct/Nov 2012 paper 2 variant 3
Question paper found on page 4 / 8 pages total, pdf
are conducted to test the breaking strength of each of two types of rope, P and Q . A random sample of 50 ropes of type P and a random sample of 70 ropes of type Q are selected. The breaking strengths, p and q , measured in appropriate units, are summarised as follows. Σ p 2 = 2120.0 Σ p = 321.2 Σ q = 47
(A/s) Mathematics - Further May/June 2016 paper 2 variant 2
Question paper found on page 5 / 8 pages total, pdf
of the following two alternatives. EITHER C 2a A 1 2a D 1 2 a B The end A of a uniform rod AB , of length 2 a and weight W , is freely hinged to a vertical wall. The end B of the rod is attached to a light elastic string of natural length 2 3 a and modulus of elasticity 3 W . The other end of the string is
(IGCSE) Co-ordinated Sciences Oct/Nov 2014 paper 1 variant 1
Question paper found on page 14 / 20 pages total, pdf
The results of these four actions are shown in the table. end tested result P attraction Q attraction T attraction U repulsion Which of the rods is a permanent magnet, with a pole at each end? A both of the rods B neither of the rods C rod X only D rod Y only 37 The current in a resistor is 0.50 A and the potential difference across the resistor is 4
(A/s) Mathematics - Further May/June 2016 paper 2 variant 1
Question paper found on page 5 / 8 pages total, pdf
of the following two alternatives. EITHER C 2a A 1 2a D 1 2 a B The end A of a uniform rod AB , of length 2 a and weight W , is freely hinged to a vertical wall. The end B of the rod is attached to a light elastic string of natural length 2 3 a and modulus of elasticity 3 W . The other end of the string is
(A/s) Mathematics - Further Oct/Nov 2017 paper 2 variant 2
Question paper found on page 21 / 24 pages total, pdf
taken to complete a particular type of logic puzzle at the beginning of the course and at the end of the course are recorded for each person. The time taken, in minutes, at the beginning of the course is denoted by x and the time taken, in minutes, at the end of the course is denoted by y . For a random sample of 9 people, the results are summarised as follows.
(A/s) Mathematics May/June 2010 paper 7 variant 1
Question paper found on page 2 / 4 pages total, pdf
The machine making these bolts is given an annual service. Th is may change the mean length of bolts produced but does not change the standard deviation . To test whether the mean has changed, a random sample of 30 bolts is taken and their length s noted. The sample mean length is m cm. Find the set of values of m which result in rejection at the 10% significance level of
(A/s) Mathematics - Further May/June 2013 paper 2 variant 2
Question paper found on page 4 / 8 pages total, pdf
A gardener P claims that a new type of fruit tree produces a higher annual mass of fruit than the type that he has previously grown. The old type of tree produced 5.2 kg of fruit per tree, on average. A random sample of 10 trees of the new type is chosen. The masses, x kg, of fruit produced are summarised as follows. Σ x = 61.0 Σ x
(A/s) Mathematics - Further May/June 2013 paper 2 variant 1
Question paper found on page 4 / 8 pages total, pdf
A gardener P claims that a new type of fruit tree produces a higher annual mass of fruit than the type that he has previously grown. The old type of tree produced 5.2 kg of fruit per tree, on average. A random sample of 10 trees of the new type is chosen. The masses, x kg, of fruit produced are summarised as follows. Σ x = 61.0 Σ x
(A/s) Mathematics - Further Oct/Nov 2013 paper 2 variant 1
Question paper found on page 5 / 8 pages total, pdf
A factory produces bottles of spring water. The manager decides to assess the performance of the two machines that are used to fill the bottles with water. He selects a random sample of 60 bottles filled by the first machine X and a random sample of 80 bottles filled by the second machine Y . The volumes of water, x and y , measured in appropriate units, are summarised as follows. Σ
(A/s) Mathematics May/June 2010 paper 7 variant 2
Question paper found on page 2 / 4 pages total, pdf
The machine making these bolts is given an annual service. Th is may change the mean length of bolts produced but does not change the standard deviation . To test whether the mean has changed, a random sample of 30 bolts is taken and their length s noted. The sample mean length is m cm. Find the set of values of m which result in rejection at the 10% significance level of
(IGCSE) Biology Oct/Nov 2017 paper 5 variant 2
Mark scheme found on page 6 / 10 pages total, pdf
sample and note time when first sample taken one drop for two samples use a dropper with enough for both samples / have two glass rods contamination use separate glass rods doing two samples at the same time take a sample from each tube at the same time with different glass rod / do trials separately size of drop for either use a syringe / pipette time not long enough for enzyme to work keep
(A/s) Mathematics - Further Oct/Nov 2019 paper 2 variant 3
Question paper found on page 14 / 24 pages total, pdf
is taken. Their weights give a sample mean of 3.78 tonnes and an unbiased variance estimate of 0.1555 tonnes 2 . The distributions of the weights of elephants in regions A and B are both assumed to be normal with the same population variance. Test at the 10% significance level whether the mean weight of elephants in region A is the same as the mean weight of elephants in
(A/s) Mathematics - Further Oct/Nov 2019 paper 2 variant 2
Question paper found on page 14 / 24 pages total, pdf
is taken. Their weights give a sample mean of 3.78 tonnes and an unbiased variance estimate of 0.1555 tonnes 2 . The distributions of the weights of elephants in regions A and B are both assumed to be normal with the same population variance. Test at the 10% significance level whether the mean weight of elephants in region A is the same as the mean weight of elephants in
(A/s) Mathematics - Further Oct/Nov 2019 paper 2 variant 1
Question paper found on page 14 / 24 pages total, pdf
is taken. Their weights give a sample mean of 3.78 tonnes and an unbiased variance estimate of 0.1555 tonnes 2 . The distributions of the weights of elephants in regions A and B are both assumed to be normal with the same population variance. Test at the 10% significance level whether the mean weight of elephants in region A is the same as the mean weight of elephants in
(IGCSE) Physics Oct/Nov 2019 paper 1 variant 2
Question paper found on page 11 / 16 pages total, pdf
a coil. The coil is connected to a battery. coil soft-iron rod soft-iron rod The connections from the battery to the coil are now reversed. What happens to the soft-iron rods in each case? battery connections as shown battery connections reversed A rods attract rods attract B rods attract rods repel C rods repel rods attract D rods repel rods repel 29 A plastic rod is rubbed with a dry
(IGCSE) Physics Feb/March 2015 paper 3 variant 2
Question paper found on page 11 / 16 pages total, pdf
a metal sphere on an insulating support. Fig. 7.2 A student has available two rods, one charged positively and one charged negatively. Using one of these rods, she gives the sphere a uniform negative charge by induction. State which rod she chooses, and describe the procedure she follows. ............................................
(A/s) Mathematics - Further Oct/Nov 2017 paper 2 variant 3
Question paper found on page 16 / 24 pages total, pdf
A factory produces bottles of an energy juice. Two different machines are used to fill empty bottles with the juice. The manager chooses a random sample of 50 bottles filled by machine X and a random sample of 60 bottles filled by machine Y . The volumes of juice, x and y respectively, measured in appropriate units, are summarised by Σ x = 45.5, Σ x − x 2 =
(A/s) Mathematics - Further Oct/Nov 2017 paper 2 variant 1
Question paper found on page 16 / 24 pages total, pdf
A factory produces bottles of an energy juice. Two different machines are used to fill empty bottles with the juice. The manager chooses a random sample of 50 bottles filled by machine X and a random sample of 60 bottles filled by machine Y . The volumes of juice, x and y respectively, measured in appropriate units, are summarised by Σ x = 45.5, Σ x − x 2 =
(IGCSE) Co-ordinated Sciences May/June 2012 paper 6 variant 1
Question paper found on page 15 / 24 pages total, pdf
A student is investigating by how much metal rods expand when heated. For Examiner's Use He has rods of copper, aluminium and tungsten. He knows that the metals expand by very small amounts so he uses the apparatus in Fig. 5.1. As the rod expands it increases in length, the pointer moves around the pivot magnifying the expansion and making it easier to read. He uses the gas burner to
(A/s) Mathematics - Further Oct/Nov 2017 paper 2 variant 2
Question paper found on page 16 / 24 pages total, pdf
A factory produces bottles of an energy juice. Two different machines are used to fill empty bottles with the juice. The manager chooses a random sample of 50 bottles filled by machine X and a random sample of 60 bottles filled by machine Y . The volumes of juice, x and y respectively, measured in appropriate units, are summarised by Σ x = 45.5, Σ x − x 2 =
(A/s) Mathematics May/June 2015 paper 7 variant 2
Question paper found on page 2 / 4 pages total, pdf
is jus tified. [4] 3 In a golf tournament, the number of times in a day that a ‘hole- in-one’ is scored is denoted by the variable X , which has a Poisson distribution with mean 0.15. Mr Crump of fers to pay $200 each time that a hole-in-one is scored during 5 days of play. Find the ex pectation and variance of the amount
(IGCSE) Physics May/June 2019 paper 3 variant 1
Question paper found on page 11 / 16 pages total, pdf
the ......................................... to the rod. (ii) [2] The student moves the rod close to a suspended, charged rod. The two rods repel each other. State the type of charge on the suspended rod. ...................................
(A/s) Mathematics - Further May/June 2008 paper 2
Question paper found on page 4 / 8 pages total, pdf
a confidence interval for µ , the times for a random sample of 10 specimens to dry were measured. The results, x minutes, are summarised by Σ( x − x ) 2 = 448.65. Σ x = 285.4, Calculate a 95% confidence interval for µ . [5] Estimate the width of a 95% confidence interval for µ based on a random sample of 20
(IGCSE) Physics Oct/Nov 2005 paper 1
Question paper found on page 12 / 20 pages total, pdf
the same. rod Y rod X magnet N P Q R S S The N pole of a magnet is brought close, in turn, to each end of both rods. The results of these four actions are shown in the table. end tested result P attraction Q attraction R attraction S repulsion Which of the rods is a permanent magnet? A neither of the rods B both of the rods C rod
(A/s) Mathematics - Further May/June 2018 paper 2 variant 3
Question paper found on page 16 / 24 pages total, pdf
in intensive training. The times taken to swim 50 metres at the beginning of the summer and at the end of the summer are recorded for each member of the club. The time taken, in seconds, at the beginning of the summer is denoted by x and the time taken at the end of the summer is denoted by y . For a random sample of 9 members the results are shown in
(A/s) Accounting May/June 2018 paper 1 variant 2
Question paper found on page 10 / 12 pages total, pdf
the effect of this on the margin of safety? A decrease by 50 units B decrease by 90 units C increase by 50 units D increase by 90 units 28 A business hires machinery at a cost of $700 per machine per month. Each machine can produce 1000 units a month. A maximum of 10 machines can fit into the factory. The factory rent is $490
(A/s) Physics May/June 2018 paper 1 variant 2
Question paper found on page 9 / 20 pages total, pdf
A uniform diving-board is held by two fixed rods at points P and Q. A person stands at end R of the diving-board, as shown. rod Q P R rod The forces exerted by the rods on the board are vertical. The board remains in equilibrium as the person slowly moves towards point Q from end R. Which row describes the changes to the forces exerted by the rods on the
(A/s) Mathematics May/June 2007 paper 7
Question paper found on page 2 / 4 pages total, pdf
the mean of a random sample of 50 observations of X is greater than 1.4. [5] 2 The random variable X has the distribution N ( 3.2, 1.2 2 ) . The sum of 60 independent observations of X is denoted by S .FindP ( S > 200 ) .[5] 3 A machine has produced nails over a long period of time, where the length in
(IGCSE) Design and Technology Oct/Nov 2018 paper 3 variant 2
Question paper found on page 17 / 20 pages total, pdf
d) Fig. 18 shows details of one metal support rod. 60 Fig. 18 Use sketches and notes to show how the two bends in the support could be produced. [4] (e) The metal support rods will have a clear lacquer finish. Describe how the metal could be prepared before applying clear lacquer. ................................
(IGCSE) Co-ordinated Sciences Oct/Nov 2018 paper 1 variant 1
Question paper found on page 12 / 16 pages total, pdf
a light metal block, a heavy metal block and a tray of damp sand. Each metal block is placed on each wooden rod in turn. The diagram shows the arrangement. metal block wooden rod damp sand Which combination of block and rod causes the rod to sink the furthest into the sand? A the heavy block on the rod with the larger diameter B the heavy block on the rod with the smaller
(IGCSE) Physics Oct/Nov 2019 paper 1 variant 3
Question paper found on page 10 / 16 pages total, pdf
rods are placed end-to-end inside a coil. The coil is connected to a battery. coil soft-iron rod soft-iron rod The connections from the battery to the coil are now reversed. What happens to the soft-iron rods in each case? battery connections as shown battery connections reversed A rods attract rods attract B rods attract rods repel C rods repel rods attract D rods repel rods repel © UCLES
9705??? Oct/Nov 2018 paper 3 variant 3
Question paper found on page 5 / 12 pages total, pdf
taken by a manufacturer when deciding on the material for the phone case. [10] 6 (a) An increasing number of alloys are used in the manufacture of components and products. (i) Name two alloys and state the specific materials used in each alloy. (ii) Identify a specific application for each of the alloys that you have given in part (i) and explain why the alloys are particularly suitable
(IGCSE) Physics Oct/Nov 2019 paper 1 variant 1
Question paper found on page 11 / 16 pages total, pdf
a block of wood D a piece of copper 28 Two soft-iron rods are placed end-to-end inside a coil. The coil is connected to a battery. coil soft-iron rod soft-iron rod The connections from the battery to the coil are now reversed. What happens to the soft-iron rods in each case? battery connections as shown battery connections reversed A rods attract rods attract B rods attract rods
(A/s) Mathematics Oct/Nov 2018 paper 7 variant 3
Question paper found on page 10 / 12 pages total, pdf
A mill owner claims that the mean mass of sacks of flour produced at his mill is 51 kg. A quality control officer suspects that the mean mass is actually less than 51 kg. In order to test the owner’s claim she finds the mass, x kg, of each of a random sample of 150 sacks and her results are summarised as follows. n = 150 Σ x =
(A/s) Mathematics - Further For examination from 2017 paper 2
Specimen question paper found on page 20 / 22 pages total, pdf
A random sample of 10 Royal plants is taken and the potatoes from each plant are weighed. The total mass of potatoes on a plant is x kg. The data are summarised as follows. Σ x = 42.0 Σ x 2 = 180.0 A random sample of 12 Majestic plants is taken. The total mass of potatoes on a plant is y kg. The data are summarised as
(A/s) Mathematics Oct/Nov 2018 paper 7 variant 1
Question paper found on page 10 / 12 pages total, pdf
A mill owner claims that the mean mass of sacks of flour produced at his mill is 51 kg. A quality control officer suspects that the mean mass is actually less than 51 kg. In order to test the owner’s claim she finds the mass, x kg, of each of a random sample of 150 sacks and her results are summarised as follows. n = 150 Σ x =
(A/s) Accounting Oct/Nov 2013 paper 1 variant 3
Question paper found on page 8 / 12 pages total, pdf
is the total direct cost per unit? A $36 B C $42 D $90 $101 27 A company receives an order for 10 000 units. The following information is available. units produced per machine hour 500 labour costs per machine hour $25 raw material cost per unit $2 overheads recovered per machine hour $40 What is the cost of production? A $11
(A/s) Mathematics - Further May/June 2010 paper 2 variant 3
Question paper found on page 4 / 8 pages total, pdf
The amount of caffeine in a randomly selected cup of coffee dispensed by a machine has a normal distribution. The amount of caffeine in each of a random sample of 25 cups was measured. The sample mean was 110.4 mg and the unbiased estimate of the population variance was 50.42 mg 2 . Calculate a 90% confidence interval for the mean amount of caffeine dispensed. [4] 7
(A/s) Mathematics Oct/Nov 2008 paper 7
Question paper found on page 2 / 4 pages total, pdf
is an unsatisfactory method of choosing a child. [2] (ii) Describe briefly a satisfactory method of choosing a child. [2] 2 The times taken for the pupils in Ming’s year group to do their English homework have a normal distribution with standard deviation 15.7 minutes. A teacher estimates that the mean time is 42 minutes. The times taken by a random sample of 3 students from the
(IGCSE) Biology Oct/Nov 2017 paper 6 variant 2
Mark scheme found on page 5 / 8 pages total, pdf
of judging the colour of the endpoint by eye ; October/November 2017 Guidance 2 idea of doing several procedures at the same time ; idea of using one drop for both spots of iodine ; idea that 1 drop for both spots (could cause contamination); idea of: two samples needed at the same time with the same rod, (then there will be a difference in the actual time) ;
(IGCSE) Design and Technology May/June 2019 paper 3 variant 3
Question paper found on page 9 / 20 pages total, pdf
The Ø5 rod is made from non-ferrous metal. (i) Name a suitable non-ferrous metal for the rod. ...........................................................................................................
(A/s) Physics May/June 2012 paper 1 variant 2
Question paper found on page 5 / 28 pages total, pdf
the experiment? A The measurements are precise and accurate with no evidence of random errors. B The measurements are not accurate and not always recorded to the degree of precision of the measuring device but the calculated experimental result is accurate. C The measurements are not always recorded to the degree of precision of the measuring device but are accurate. Systematic errors may be present. D The range of results shows that there
(IGCSE) Design and Technology May/June 2019 paper 3 variant 1
Question paper found on page 9 / 20 pages total, pdf
The Ø5 rod is made from non-ferrous metal. (i) Name a suitable non-ferrous metal for the rod. ...........................................................................................................
(IGCSE) Physics May/June 2009 paper 3
Question paper found on page 4 / 41 pages total, pdf
metal rods, which are embedded in the concrete before it sets. The list below shows how much a length of 1 m of each material expands when the temperature rises by 1 °C. aluminium 0.03 mm concrete 0.01 mm steel 0.01 mm Use this information to decide which metal should be used to reinforce concrete, why it is suitable, and why the other metal is not suitable.
(A/s) Mathematics May/June 2006 paper 7
Question paper found on page 2 / 4 pages total, pdf
of fish food have weights that are distribu ted with standard deviation 2.3 g. A random sample of 200 packets is taken. The mean weight of this sample is found to be 99.2 g. Calculate a 99% confidence interval for the population mean weight. [3] 2 A mathematics module is assessed by an examinatio n and by coursework. The examination makes up 75% of the total
(A/s) Mathematics Oct/Nov 2019 paper 7 variant 2
Question paper found on page 3 / 16 pages total, pdf
in 150 components made by a certain machine are faulty. The random variable X denotes the number of faulty components in a random sample of 500 components. (i) Describe fully the distribution of X . [2] ....................................................................
(A/s) Mathematics Oct/Nov 2016 paper 7 variant 3
Question paper found on page 2 / 4 pages total, pdf
the mean is actually greater than 11 hours. They invited a random sample of members to report the battery life of their tablets. They then calculated the sample mean. Unfortunately a fire destroyed the records of this test except for the following partial document. Test of the mean battery the tablet Sample size, n Sample mean (hours) Is the result significant at the 5% level? Is the result significant at
(IGCSE) Physics May/June 2009 paper 3
Question paper found on page 24 / 41 pages total, pdf
metal rods, which are embedded in the concrete before it sets. The list below shows how much a length of 1 m of each material expands when the temperature rises by 1 °C. aluminium 0.03 mm concrete 0.01 mm steel 0.01 mm Use this information to decide which metal should be used to reinforce concrete, why it is suitable, and why the other metal is not suitable.