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2002 MATHEMATICS PAPER A INPUT YOUR NAME AND PRESS SEND: Next Page 2002 Mathematics Paper A Q1 Which two other number cards would join the circle to make 150? 75 + 75 150 90 + 70 A 85 + 65 B 450 – 300 C 220 – 80 D Next Page 2002 Mathematics Paper A Q2a 5 × 70 = Next Page 2002 Mathematics Paper A Q2b 4 × ? = 200 Next Page 2002 Mathematics Paper A Q3a Here is a square with a design on it. The square is reflected in the mirror line. Draw the missing triangle and dots on the reflected square. Actual SAT you may use a mirror or tracing paper. A B Where would the triangle go? Next Page mirror line C D 2002 Mathematics Paper A Q3b Here is a square with a design on it. The square is reflected in the mirror line. Draw the missing triangle and dots on the reflected square. Actual SAT you may use a mirror or tracing paper. Where would this dot go? A B Next Page mirror line C D 2002 Mathematics Paper A Q3b Here is a square with a design on it. The square is reflected in the mirror line. Draw the missing triangle and dots on the reflected square. Actual SAT you may use a mirror or tracing paper. A B Next Page Where would this dot go? mirror line C D 2002 Mathematics Paper A Q4a Asif, Vicky and Nita go to town by bus. This is what they pay. BUS TICKET Asif 75p BUS TICKET Vicky £1.35 BUS TICKET Nita Next Page £1.55 How much more does Nita pay than Asif? 2002 Mathematics Paper A Q4b Asif, Vicky and Nita go to town by bus. This is what they pay. BUS TICKET Asif 75p BUS TICKET Vicky £1.35 BUS TICKET Nita Next Page: Answer key £1.55 Vicky then takes another bus from town to visit her auntie. She pays 90p on this bus. How much has Vicky paid altogether for her two bus tickets? {Answer in pounds using the decimal}. 2002 Mathematics Paper A Q4 (a) 80p OR £0.80 1m Accept £0.80p OR 0.80 OR 80 OR £.80 OR £.80p OR £0 80 OR .80 OR 0 80 Do not accept £80p OR £80 OR £0.8 OR 0.80p (b) £2.25 OR 225p 1m Accept £2.25p OR 2.25 OR 225 OR £2 25 Do not accept £225p OR £225 Next Page 2002 Mathematics Paper A Q5a Match each shape on the left to one with equal area on the right. The first one has been done for you. A B This shape matches with? C Next Page D E F 2002 Mathematics Paper A Q5b Match each shape on the left to one with equal area on the right. The first one has been done for you. A B This shape matches with? Next Page C D E 2002 Mathematics Paper A Q5c Match each shape on the left to one with equal area on the right. The first one has been done for you. A B C This shape matches with? D Next Page 2002 Mathematics Paper A Q6a A shop sells greetings cards. Each card has a price code on it. These are the codes. code AA price Next Page 75p BB £1.15 CC £1.55 DD £1.70 EE £1.99 Tina buys two cards. One card has code AA on it. The other card has code DD on it. How much does Tina pay? {Answer in pounds using the decimal}. 2002 Mathematics Paper A Q6b A shop sells greetings cards. Each card has a price code on it. These are the codes. code AA price Next Page 75p BB £1.15 CC £1.55 DD £1.70 EE £1.99 Omar buys a card. He pays with a £2 coin. He gets 45p change. What is the code on his card? 2002 Mathematics Paper A Q7 Which of these numbers are multiples of 8? a. b. c. d. e. 18 32 56 68 72 Next Page 2002 Mathematics Paper A Q7 Which of these numbers are multiples of 8? a. b. c. d. e. 18 32 = 8 x 4 56 = 8 x 7 68 72 = 8 x 9 Next Page 2002 Mathematics Paper A Q8 Write two cards that give a total of 5 e.g. 1 14 1 12 11/4 + 1 ½ = wrong answer 1 34 Next Page Answer Key 1 32 3 34 1 44 2002 Mathematics Paper A Q8 14 1 12 1 14 1 34 3 44 32 3 1 OR 14 1 12 1 14 1 34 3 44 32 3 1 Next Page 2002 Mathematics Paper A Q9 3 8 9 1 Use three of these numbers to make an even number that is greater than 400 Next Page Answer Key 2002 Mathematics Paper A Q9 3 8 9 1 Use three of these numbers to make an even number that is greater than 400. Next Page 918 or 938 2002 Mathematics Paper A Q10a This graph shows the cost of phone calls in the daytime and in the evening. 60p Click for the answer 50p e m i t ay d 40p Cost Answers of call 30p in the range 44-46 p would get the mark in the SAT. 20p evening Next Page 10p 0p 0 2 4 6 8 10 12 Length of call in minutes How much does it cost to make a 9 minute call in the daytime? 2002 Mathematics Paper A Q10a This graph shows the cost of phone calls in the daytime and in the evening. 60p Click for the answer 50p e m i t ay d 40p Cost of call 30p 30p – 10p = 20p 20p evening Next Page 10p 0p 0 2 4 6 8 10 12 Length of call in minutes How much more does it cost to make a 6 minute call in the daytime than in the evening? – Answer in pence. 2002 Mathematics Paper A Q11a Mr Singh buys paving slabs to go around his pond. PAVING SLABS £1.95 each Square slabs 50cm by 50cm £3.50 each 50cm 100cm Pond Rectangular slabs 100cm by 50cm Next Page Answer Key He buys 4 rectangular slabs and 4 square slabs. What is the total cost of the slabs he buys? {Answer in pounds using the decimal}. [2 marks] 2002 Mathematics Paper A Q11a Mr Singh buys paving slabs to go around his pond. PAVING SLABS £1.95 each Square slabs 50cm by 50cm £3.50 each Rectangular slabs 50cm 100cm Pond He buys 4 rectangular slabs and 4 square slabs. What is the total cost of the slabs he buys? {Answer in pounds using the decimal}. [2 marks] 100cm by 50cm Next Page Award TWO marks for the correct answer of £21.80 Up to 2m Accept £21.80p OR £21 80 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 3.50 × 4 = 14.00 1.95 × 4 = 7.80 14.00 + 7.80 = wrong answer Accept for ONE mark £2180p OR £2180 OR £21.8 as evidence of appropriate working. Calculation must be performed for the award of ONE mark. 2002 Mathematics Paper A Q11b Mr Singh buys paving slabs to go around his pond. PAVING SLABS £1.95 each Square slabs 50cm by 50cm £3.50 each 50cm 100cm Pond Rectangular slabs 100cm by 50cm Next Page Answer Key Mr Singh says, 'It would cost more to use square slabs all the way round.‘ Explain why he is correct. 2002 Mathematics Paper A Q11b Mr Singh buys paving slabs to go around his pond. Mr Singh says, PAVING SLABS £1.95 each Square slabs 50cm by 50cm £3.50 each 50cm 100cm Pond 'It would cost more to use square slabs all the way round.‘ Rectangular slabs 100cm by 50cm Explain why he is correct. (b) An explanation which recognises that each square slab costs more than half a rectangular slab or equivalent, eg · ‘Half of £3.50 is £1.75, which is less than £1.95’; Next Page · ‘Two square slabs cost more than one rectangular slab’; · ‘Because 12 squares cost £23.40’; · ‘Because it would cost £1.60 more’. Do not accept vague or arbitrary explanations, eg · ‘Because he would need more slabs’; · ‘Because square slabs are cheaper than rectangular slabs’; · ‘Because it costs more’; · ‘He is right because the square slabs are £1.95 each and the rectangular slabs are £3.50 each’. 2002 Mathematics Paper A Q12a What is this missing digit? 4 4 + 3 8 = 8 5 1 Next Page 2002 Mathematics Paper A Q12b What is this missing digit? 4 4 + 3 8 = 8 5 1 Next Page 2002 Mathematics Paper A Q13a Here are a pencil sharpener, a key and a rubber. Actual size 0 1 2 3 4 5 6 7 8 9 cm Next Page What is the length of all three things together? Give your answer in millimetres. 2002 Mathematics Paper A Q13b Here are a pencil sharpener, a key and a rubber. Click for the answer Actual size 0 1 2 3 4 5 6 7 8 9 cm 2.4 cm = 24 mm. 5.3cm = 53mm 53 – 24 = 29 mm What is the length of the key? Give your answer in millimetres. Next Page 2002 Mathematics Paper A Q14 Click for the answer Calculate 417 x 20 417 x 20 = 417 x 10 x 2 417 x 10 = 4170 4170 x 2 = 8340 Next Page 2002 Mathematics Paper A Q15a This table shows the weight of some fruits and vegetables. Complete the table. grams Next Page Which number goes here? kilograms 2 potatoes 3500 3.5 1 0 1.2 apples grapes ginger 250 0.03 3 kg 4 5 6 2002 Mathematics Paper A Q15b This table shows the weight of some fruits and vegetables. Complete the table. grams Next Page Which number goes here? kilograms 2 potatoes 3500 3.5 1 0 apples 1200 grapes 250 ginger 1.2 0.03 3 kg 4 5 6 2002 Mathematics Paper A Q15c This table shows the weight of some fruits and vegetables. Complete the table. grams Next Page Which number goes here? kilograms 2 potatoes 3500 3.5 1 0 apples 1200 grapes 250 ginger 1.2 0.250 0.03 3 kg 4 5 6 2002 Mathematics Paper A Q16 Calculate 15.05 – 14.84 Click for the answer 15.05 – 14.84 . 15.05 – 14.84 . 1 41 15.05 – 14.84 . 1 Line up theand decimals Underline fill in the decimal underneath 5–4=1 0 – 8 = need to borrow Next Page 41 15.05 – 14.84 00.21 2002 Mathematics Paper A Q17a The shaded shape is a parallelogram. y What is the first coordinate of point A? A (20, 27) (?, _) (15, 17) 0 Next Page (35, 17) x 2002 Mathematics Paper A Q17b The shaded shape is a parallelogram. y What is the second coordinate of point A? A (20, 27) (40, _) (15, 17) 0 Next Page (35, 17) x 2002 Mathematics Paper A Q18a 75p 6 green apples for 75p 9 0p 10 red apples for 90p Jason bought some bags of green apples and some bags of red apples. He spent £4.20 How many bags of each type of apples did he buy? Green Apples? Next Page 2002 Mathematics Paper A Q18b 75p 6 green apples for 75p 9 0p 10 red apples for 90p Jason bought some bags of green apples and some bags of red apples. He spent £4.20 How many bags of each type of apples did he buy? Green Apples? = 2 Red apples = ? Next Page: Answer Key 2002 Mathematics Paper A Q18b 75p 9 0p Next Page 6 green apples for 75p 10 red apples for 90p Jason bought some bags of green apples (a) Award TWO marks for correct answer and some bags of red apples. as shown: 2 bags of green apples He spent £4.20 3 bags of red apples How many bags of each type of apples Both numbers must be correct for the award did he buy? of the marks. Green Apples? = 2 Red apples = ? If the answer is incorrect, award ONE mark for evidence of appropriate working, eg Listing of cost of apples: 75 90 150 180 225 270 Calculation must be performed for the award of ONE mark. 2002 Mathematics Paper A Q18c 75p 6 green apples for 75p 9 0p 10 red apples for 90p Nika and Hassan bought some bags of apples. Nika says, ‘I bought more apples than Hassan, but I spent less money.’ Explain how this is possible. Next Page: Answer Key 2002 Mathematics Paper A Q18c 75p 6 green apples for 75p 9 0p 10 red apples for 90p Nika and Hassan bought some bags of Next Page apples. Nika says, ‘I bought more apples than Hassan, but I spent less money.’ Explain how this is possible. (b) An explanation that shows how it is possible to buy more apples but spend less money, eg · ‘Nika buys 2 bags of red apples, giving 20 apples for £1.80, and Hassan buys 3 bags of green apples, giving 18 apples for £2.25’. Do not accept vague or arbitrary explanations, eg · ‘She got bigger bags than he did’; · She bought a lot of small ones’. Ignore slight errors in arithmetic that do not contradict the explanation. 2002 Mathematics Paper A Q19 Write in the two missing digits. 0 × 0 = 3 0 0 0 Next Page: Answer Key 2002 Mathematics Paper A Q19 Write in the two missing digits. 0 × 0 = 3 0 5 and 6 written in the boxes in either order as shown: 0 Next Page 6 0 × 5 0 = 3 0 0 0 OR 5 0 × 6 0 = 3 0 0 0 0 2002 Mathematics Paper A Q20a A sequence starts at 500 and 80 is subtracted each time. 500 420 The sequence continues in the same way. Write the first two numbers in the sequence which are less than zero. The FIRST would be? {Answer like so: -32 [wrong answer]} 340 ... Next Page 2002 Mathematics Paper A Q20b A sequence starts at 500 and 80 is subtracted each time. 500 420 The sequence continues in the same way. Write the first two numbers in the sequence which are less than zero. The SECONDwould be? {Answer like so: -32 [wrong answer]} 340 ... Next Page 2002 Mathematics Paper A Q21a Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5' Next Page 2002 Mathematics Paper A Q21b Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5‘ = True => Dan 1 in 7 chance, Abeda 1 in 20 chance They are both equally likely to choose a number less than 3 Next Page 2002 Mathematics Paper A Q21a Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5‘ = True => Dan 1 in 7 chance, Abeda 1 in 20 chance They are both equally likely to choose a number less than 3 False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%) Next Page 2002 Mathematics Paper A Q21c Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5‘ = True => Dan 1 in 7 chance, Abeda 1 in 20 chance They are both equally likely to choose a number less than 3 False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%) Dan is more likely than Abeda to choose an odd number. Next Page 2002 Mathematics Paper A Q21c Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5‘ = True => Dan 1 in 7 chance, Abeda 1 in 20 chance They are both equally likely to choose a number less than 3 False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%) Dan is more likely than Abeda to choose an odd number. True => Dan 4 in 7 chance (1,3,5,7 =57%) , Abeda 10 in 20 chance (50%) Next Page 2002 Mathematics Paper A Q21d Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5‘ = True => Dan 1 in 7 chance, Abeda 1 in 20 chance They are both equally likely to choose a number less than 3 False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%) Dan is more likely than Abeda to choose an odd number. True => Dan 4 in 7 chance (1,3,5,7 =57%) , Abeda 10 in 20 chance (50%) Abeda is less likely than Dan to choose a '10' Next Page 2002 Mathematics Paper A Q21d Dan has a bag of seven counters numbered 1 to 7 Abeda has a bag of twenty counters numbered 1 to 20 Each chooses a counter from their own bag without looking. Dan is more likely than Abeda to choose a '5‘ = True => Dan 1 in 7 chance, Abeda 1 in 20 chance They are both equally likely to choose a number less than 3 False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%) Dan is more likely than Abeda to choose an odd number. True => Dan 4 in 7 chance (1,3,5,7 =57%) , Abeda 10 in 20 chance (50%) Abeda is less likely than Dan to choose a '10‘ False => Dan can not choose a ten, Abeda can ☺. Next Page 2002 Mathematics Paper A Q22 Calculate 924 ÷ 22 Next Page: Answer Key 2002 Mathematics Paper A Q22 Award TWO marks for the correct answer of 42 Up to 2m If the answer is incorrect award ONE mark for evidence of appropriate working containing no more than one arithmetic error, eg · long division algorithm · · methods · Calculation must be performed for the award of ONE mark. short division algorithm Short division methods must be supported by evidence of appropriate carrying figures to indicate use of a division algorithm. repeated addition / subtraction No mark is awarded for repeated addition / subtraction the wrong number of times. factor / multiple methods, eg wrong answer 22 924 880 44 – 44 0 Calculate 924 ÷ 22 wrong answer 22 924 924 – 440 484 – 440 44 – 44 0 20 × 22 20 × 22 2 × 22 wrong answer 22 × 10 = 220 × 4 22 × 40 = 880 + 44 924 924 ÷ 22 = wrong answer Next Page Look at this diagram. 2002 Mathematics Paper A Q23a Not to scale x 35º y Next Page Calculate the size of angle x. Look at this diagram. 2002 Mathematics Paper A Q23a Next Page Not to scale x 35º Calculate the size of angle y. y Look at this diagram. 2002 Mathematics Paper A Q23a Next Page Click for the answers Not to scale 35º x y Angle facts: Angles in a triangle always add up to? 180° 35° + 90° + X° = 180° X° = 55 ° Calculate the size of angle x. Look at this diagram. 2002 Mathematics Paper A Q23a Next Page Not to scale x 35º Calculate the size of angle y. Click for the answers y Angle facts: Half circles always add up to? 180° 35° + Y° = 180° X° = 145 ° 2002 Mathematics Paper A Q Which is larger, 2 5 or 1 3 ? Explain how you know. Next Page: Answer Key 2002 Mathematics Paper A Q24 Which is larger, 1 3 1 3 2 5 2 5 2 5 or 1 3 ? Last Page Explain how you know. An appropriate explanation which recognises that: No mark is awarded for just writing 2 Or 1 2 2 5 = which is less than 3 6 5 Do not accept vague or arbitrary explanations, eg because Or because 1 3 comes first on a number line. 1 5 2 6 = and = 3 15 5 15 2 5 is bigger than 1 3