EMANUEL SCHOOL ENTRANCE EXAMINATION Mathematics Sample Examination Paper Year 7 11 Entry Online Quiz view all papers Welcome to your EMANUEL SCHOOL 11+ Paper 11. Do the following sums (a) 7 8 5 + 5 4 1 1326 1026 1386 1126 1226 None (b) 8 6 7 - 3 8 2 485 525 585 325 685 None 2. Work out 53 + 3209 + 664 3926 3816 3823 3916 3826 None 3. Do the following multiplication sums (a) 56x 4 224 204 244 124 None of the Above None (b) 732 x 9 6588 6378 6478 6388 6578 None 4. Work out the following divisions (a) 7√ 6146 878 678 788 887 778 None (b) 56,400 divided by 12 4700 47 470 45 74 None 5. Add together two thousand three hundred and seven AND one thousand and twenty-four. 3331 3540 3321 3231 3033 None 6. (a) 4 British coins in Jo’s pocket add up to 73p. What are they? 50p, 20p,2p,1p 50p, 20p,3p,1p 20p, 20p,30p,3p 20p, 20p,20p,3p None of the Above None (b) 5 British coins in Arati’s pocket add up to 61p. Three of the coins are the same. What are the 5 coins? 50p,5p,2p,2p,2p 20p,20p,10p,10p,2p 20p,10p,10p,10p,10p 20p,20p,5p,5p,2p None of the Above None 7. When two numbers are added together the total is 32. When the same two numbers are subtracted the result is 6. Find the two numbers. 19 & 13 18 & 14 20 & 12 21 & 11 18 & 16 None 8. What number must fit into the squares to make these sums correct? (a) 34 + = 91 57 47 67 37 None of the Above None (b) 72 - = 39 33 43 23 13 53 None (c) x 7 = 119 17 27 15 37 None of the Above None (d) 448 ÷ = 8. 56 46 66 36 26 None 9. Sam takes a £20 note to a restaurant. He buys a burger for £3.99, a milk shake for £1.65, and a fudge sundae for £1.80 (a) How much money does he spend altogether? £7.44 £5.54 £6.44 £5.44 £8.54 None (b) How much change should he get from the £20 note? £12.56 £13.56 £15.56 £11.56 None of the Above None 10. Work out the following multiplication 47 x 26 12402 11302 12362 12302 11402 None 11. On a very long straight road there are four villages: Allwood, Bentham, Corford and Dunbar, which are shown in the diagram below. The arrows show distances between villages. Find the distances from (a) Corford to Dunbar 14km 11km 8km 6km 12km None (b) Allwood to Dunbar 26km 18km 14km 16km 12km None 12. On the axes shown A is the point (2,3) a) Write down the coordinates of the point C. ( , ) (7,2) (5,2) (6,2) (-6,2) (8,2) None b) Mark on the diagram the point B which is (5,5). (5,5) (5,4) (4,4) (6,6) None of the Above None c) Mark on the diagram the point D so that ABCD is a square. (4,0) (0,4) (3,0) (2,0) None of the Above None 13. Angola Namibia Zimbabwe Zambia Population 10002000 12030009 369000 8456 000 Area in square kilometres 1246700 823168 390759 752614 Highest mountain in metres 2610 2579 2592 2164 The table above shows some information about four African countries. Answer the following questions using the table. (a) Which country has the largest area? Angola Namibia Zimbabwe Zambia None of the Above None (b) Which country has the smallest population? Namibia Angola Zimbabwe Zambia None of the Above None (c) Which country has the third highest mountain? Namibia Angola Zimbabwe Zambia None of the Above None (d) Which country is the most densely populated (most people for each square kilometre of land)? Zimbabwe Angola Namibia Zambia None of the Above None 14. Sophie thinks of a number, doubles it and adds 8. The answer was 26. What was the number she was thinking of ? 9 8 12 10 7 None 15. Find the next two numbers in each of the following sequences (a) 1, 8, 15, 22, 29, 36 & 43 34 & 39 35 & 41 37 & 45 None of the Above None (b) 4, 6, 9, 13, 18, 24 & 31 23 & 29 25 & 32 22 & 26 None of the Above None (c) 96, 48, 24, 12, 6, 3 & 1.5 2 & -1 4 & 2 5 & 2.5 -3-1.5 None (d) 3, 4, 7, 11, 18, 29, 47 & 76 40 & 69 45 & 75 30 & 59 None of the Above None 16. (a) What fraction of the large rectangle is shaded? \[\frac{1}{5}\] \[\frac{7}{12}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{1}{2}\] None (b) How many more squares need to be shaded sothat three quarters of the large rectangle isshaded? 4 more square 2 more square 3 more square 5 more square 1 more square None 17.(a) What is the area of the rectangle? 10\[cm^{2}\] 25\[cm^{2}\] 5\[cm^{2}\] 4\[cm^{2}\] 36\[cm^{2}\] None (b) How many triangles of the size shown will fit into the rectangle above?Neither diagram is drawn to scale. 20 15 30 10 None of the Above None 18. In the British Army there are 4500 men who are taller than 180cms. Of these 750 are taller than 190cms. How many men are there who are between 180 and 190 cms tall? 3750 3250 1750 3350 4620 None 19. The pie chart shows the activities of a group of children on a Saturday morning. 8 children went to the Library. (a) How many children went swimming? 16 8 12 6 24 None (b) How many children went shopping? 32 16 24 18 20 None (c) How many children were there altogether in the group? 64 81 72 49 None of the Above None 20. When Aunt Jane comes to visit, Tom always goes out to play. Last Sunday, Aunt Jane came to visit. It was raining. The following sentences are either TRUE, or FALSE, or NOT CERTAIN. Ring the one you think applies to each sentence. (a) Tom went out to play. (True / False / Not certain) TRUE FALSE Not Certain only 'b' None of the Above None (b) Aunt Jane and Tom both went out to play.(True / False / Not certain) Not Certain TRUE FALSE only 'b' None of the Above None (c) As it was raining Tom stayed inside last Sunday.(True / False / Not certain) FALSE TRUE Not Certain only 'b' None of the Above None 21. A train leaves London at 10.35 a.m. and arrives in Exeter 3 hours and 35 minutes later. What time does it arrive? 2:10pm 2:00pm 1:35pm 2:20pm None of the Above None 22. Look at the following long multiplication. 576 x 48 ----------460823040-----------27648 -----------Without doing any more calculations give the answers to: (a) 576 x 8 = 4608 4568 4068 4008 None of the Above None (b) 576 x 4 = 2304 2084 2384 2204 2284 None (c) 27,648 ÷ 576 = 48 38 58 68 78 None (d) 27,648 - 23,040 = 4608 4568 4068 4008 None of the Above None 24. A rule for a number sequence is ‘multiply by 2 and subtract 7’. (a) Write down the next number in the sequence 8 -> 9 -> 11 -> 15 23 21 18 22 None of the Above None (b) Here is part of another number sequence with the same rule.Write down the first number which is missing.______ -> 17 -> 27 -> 47 -> 87 12 8 9 7 None of the Above None 25. Put a single number in the boxes to make each of these sums correct. 8 9 7 6 5 None 26.The diagram shows Woody the ant settingoff for a walk he took recently in search of food. On this journey Woody walked a certain distance, and turned right. Each time he turned right he walked 2 metresless than he did the time before. On the last part of his journey before stopping he walked one metre. How far did he walk altogether? 49meters 40meters 45meters 38meters 42meters None 28. When my age is divided by 2, 3, 4 or 6 there is always a remainder of 1. But when divided by 7 there is no remainder. How old am I? 49 39 59 19 29 None 29. If there are 5 Mondays, 5 Tuesdays and 5 Wednesdays in January, on what day of the week will February 1st fall? (There are 31 days in January) Thursday Friday Saturday Sunday Monday None Time's up
