ST PAUL'S GIRLS SCHOOL SAMPLE MATHS PAPER – 2 by smoothmaths | Jul 5, 2020 | 0 comments Welcome to your ST PAUL'S GIRLS SCHOOL SAMPLE MATHS PAPER - 2 SECTION A1. Calculate 623−467 156 146 246 256 154 None 2. Calculate 286÷13. 22 21 23 24 20 None 3. Calculate 11% of 32600 . 3586 3576 3260 3500 3550 None 4. Order these from smallest to largest: 1.23 1.023 1.203 1.032 1.2 1.32 1.302 1.023,1.032,1.200,1.203,1.302,1.320 1.320,1.302,1.203,1.200,1.032,1.023 1.320,1.302,1.032,1.200,1.203,1.023 1.320,1.032,11.023,1.200,1.203,1.302 1.032,1.200,1.203,1.302,1.320,1.023 None 5. My journey to school takes 47minutes. If I set off at 07:32 what time will I arrive at school? 8:19 7:32 7:47 8:21 8:00 None 6. Circle the numbers which give 7 when rounded to the nearest whole number. 6.51 7.49 7.51 6.49 6.9 7.9 6.51, 7.49, 6.9 6.49, 6.9, 7.51 6.51 , 6.49, 7.51 6.9 , 7.49, 7.51 7.9, 6.9, 7.51 None 7. Fill in the next three numbers in these sequences: 3, 7, 11, 15, _____ , _____ , _____ 19, 23, 27 16, 17, 18 11, 7, 3 18, 21, 24 20, 25, 30 None 53, 46, 40, 35, _____ , _____ , _____ 31, 28, 26 33, 31, 29 31, 27, 23 39, 43, 47 32, 29, 26 None 1, 2, 4, 8, _____ , _____ , _____ 16, 32, 64 24, 72, 216 4, 2, 1 32, 128, 512 None of the Above None 8. What percentage of the grid below is shaded? You can assume all boxes are identical in size. 68% 60% 70% 65% None of the Above None 9. Calculate 1.1×(4.5+2.5)−2 5.7 7.7 2.7 5.2 4.5 None 10. 75 students need 3 pens each. Pens are sold in packs of 6. How many whole packs need to be bought? 38 25 32 35 20 None 11. The minute hand on a clock points exactly to the number 7. It is then turned anticlockwise by 240°. What number does it now point to? 11 10 9 8 7 None 12. Julia thinks of a number. She multiplies it by 5 and then subtracts 14. The answer she gets is 46. What number did she originally think of? 12 10 20 16 18 None 13. Which whole number when multiplied by itself will give an answer between 190 and 200? 14 13 12 11 10 None 14. Which number between 81 and 89 is exactly divisible by 6? 84 81 89 80 90 None 15. Freya has 24 badges. If she gives ³/8 of them to her brother, how many does she have left? 15 24 10 9 12 None 16. A rectangular room is twice as long as it is wide. The perimeter of the room is 36m. What is the length of the room? 12 6 8 10 16 None 17. This cardboard shape is cut out and folded into a cube. Circle the cube which could not be formed by this shape. A B C D E None END OF SECTION A. NOW GO BACK AND CHECK YOUR ANSWERS.SECTION B. 1. You are told that 56% of the pupils in a class are girls. What is the smallest number of pupils the class could contain? 25 28 20 14 12 None 2. Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed? 64 54 44 34 24 None 3. A boy spent 3/8 of his allowance and put 1/2 of the remainder in the bank . He then had £15 left. How much money did he have to start with? 48 44 40 36 32 None 4. A carpet measuring 4m by 3m covers 60% of the floor area in a rectangular room. What is the width of the room if the length is 5 m? 4 8 12 10 6 None 5. Here are two views of the same cube:Which of the views below show the same cube as in A and B? D & E C & D C & E D only E Only None 6. Bill sold his motor scooter to Tom for £120. After driving it for a few days, Tom discovered it was in such a broken-down condition that he sold it back to Bill for 30% less than he paid. The next day Bill sold it to Jack for £90. What is Bill’s profit on the final sale? 6 8 10 4 12 None 7. a) At a railway station there are two platforms. At one platform, trains leave every 24 minutes and at the other every 30 minutes. If trains leave both platforms at 9 a.m., what time is it when trains next leave both platforms at the same time? 11:00 10:00 10:30 12:00 11:30 None b) A train takes 3 hours 40 minutes to travel from York to London. It arrives at 18:00 having been delayed by 45 minutes. At what time did it leave York? 13:35 12:45 15:35 11:30 11:00 None 8. The diagram shows a patio made up of square concrete slabs. The shaded ones are cracked.a) What fraction of the total number of slabs is cracked? \[\frac{7}{24}\] \[\frac{1}{12}\] \[\frac{1}{4}\] \[\frac{1}{6}\] \[\frac{1}{24}\] None b) Each slab measures ½ metre by ½ metre. What is the area of one slab, in cm² ? 2500 1500 5000 1250 2000 None c) If it is decided to cement over the cracked slabs, what area, in cm² , needs to be cemented? 17500 16500 14500 12500 11500 None 9. Look at these numbers and the multiplications: 49 = 7 × 7 4489 = 67 × 67 444889 = 667 × 667a) Use the pattern to fill in the spaces below: 44448889 = ______ × ______ 6667 x 6667 666 x 666 7666 x 7666 777 x 777 6666 x6666 None b) What will be the tenth number in the list? 444444444448888888889 444444444448888888888 44444444444099999999 44444444444888877889 None of the Above None c) What will be the square root of this number? 66666666667 66666666665 66666666666 66666666664 66666666677 None 10. 100 aliens attended an inter-species meeting on Mars. 76 of them needed breathing apparatus, 52 needed shaded goggles, but 23 aliens didn’t need either. How many aliens needed breathing apparatus and goggles? 51 52 53 60 76 None 11. In imperial units of length, one furlong=10 chains, one chain=22 yards and one yard=3 feet.a) Find the total number of feet in 3 furlongs, 2 chains and 5 yards. 2127 2000 2115 2027 2112 None b) Convert 472 feet to chains, yards and feet using as many chains as possible, then yards and then feet. 7 chains, 3 Yards, 1 feet 6 chains, 2 Yards, 1 feet 9 chains, 5 Yards, 3 feet 5 chains, 1 Yards, 1 feet 8 chains, 4 Yards, 2 feet None 12. Blocks of this shape are packed into the container on the right. What is the greatest number of blocks that can be placed inside the container? 16 14 12 10 8 None END OF SECTION B. NOW GO BACK AND CHECK YOUR ANSWERS.SECTION C. 1. It takes 2 men 3 days to build a wall. To answer these questions, assume that all men work at the same rate all the time and take no breaks! You may use fractions, where necessary.a) How long would it take one man to build the wall? 6 5 4 3 2 None b) How long would it take one man to build 6 such walls? 36 30 24 18 12 None c) How long would it take 3 men to build 6 such walls? 12 days 10 days 8 days 7 days 6 days None d) How long would it take 10 men to build 6 such walls? 3 \[\frac{3}{5}\] 4 \[\frac{2}{3}\] 3 \[\frac{2}{5}\] 2 \[\frac{3}{5}\] \[\frac{3}{5}\] None e) How long would it take 10 men to build x such walls? \[\frac{6x}{10}\] \[\frac{7x}{10}\] \[\frac{8x}{10}\] \[\frac{5x}{10}\] none of the above None f) How long would it take y men to build x such walls? \[\frac{6x}{y}\] \[\frac{5x}{y}\] \[\frac{4x}{y}\] \[\frac{8x}{y}\] none of the above None 4. (a) A sequence starts 4,16,…….. Each term is 4 times the term before.Write down the next five numbers in the sequence.Which of the following could not be numbers in this sequence?a. 23468b. 12986c. 23232d. 65536e. 98340Give reasons for your answer(s). 64, 256, 1024, 4096, 16384 64, 192, 576,1728, 5184 64, 320, 1600, 8000, 24000 16, 256, 512, 1024, 2048 none of the above None (b) The first two numbers in a sequence are 2 and 4. Each of the following numbers in the sequence is the sum of all the numbers which come before it.Write down the next five numbers in the sequence.Which of the following could not be numbers in this sequence?a. 49152b. 64790c. 24576d. 12288e. 34921Give reasons for your answer(s). 6, 12, 24, 48, 96 4, 6, 8, 24, 48 8, 16, 28, 54, 86 5, 10, 20, 45, 90 None of the Above None 5. You are reminded that to write the number 135 requires three digits. To write 5056 requires four digits.What is the total number of digits required to write each of the following sets of numbers?(a) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 11 10 9 8 7 None (b) 10, 11, 12, 13…….up to and including 20 22 24 26 28 20 None (c) 1, 2, 3,……….up to and including 100 192 180 183 189 none of the above None (d) All the whole numbers from 1 to 1000 inclusive. 2893 1095 2889 2701 2793 None 7. Imagine that you have a can of red paint, a can of blue paint and a large supply of wooden cubes, all the same size. You decide to paint the cubes by making each face either red or blue. How many different coloured cubes can you make?(Two cubes are considered the same if one can be turned so that all its sides match the corresponding sides of the other cube.)You can use the diagrams below to help. 10 15 18 20 9 None Time's up
