11+ Mathematics Sample Paper, Study Guides, Projects, Research of Mathematics

Download 11+ Mathematics Sample Paper and more Study Guides, Projects, Research Mathematics in PDF only on Docsity! Warwick School 11+ Entrance Examination Mathematics Please write your full name here: _____________________________________ Before you start read these instructions:  The test lasts 60 minutes.  We would like to see how you worked out your answers, so show your working. We may be able to give your marks even if the answer is wrong.  If you cannot do a question, leave it and move to the next question.  Do not use a calculator.  Have you written your full name above? 1. Work out: a) 9728 + 675 Answer: ___________ [1] b) 1003 − 637 Answer: ___________ [1] c) 87 × 93 Answer: ___________ [2] d) 7799 ÷ 11 Answer: ___________ [1] 2. Calculate a) 4 1 2 + 5 3 4 Answer: ___________ [1] b) 7 × 3 5 Answer: ___________ [1] c) 5 2 5 − 2 4 5 Answer: ___________ [1] Total ( /8) 7. Give one answer only for each of the following questions: a) Write down any multiple of 8 between 50 and 70 Answer: ________ [1] b) Write down a prime number between 48 and 60 Answer: ________ [1] c) Write down a factor of 90 that is between 12 and 25 Answer: ________ [1] d) Write down a square number between 30 and 60 Answer: ________ [1] e) Write down a 2-digit number that is both a square number and cube number Answer: ________ [1] 8. How many small triangles would fit exactly into the larger rectangle? Answer: ___________ [3] Total ( /8) 6cm 8cm 0.32m 0.42m 9. Arrange these numbers in order from the smallest to the largest. 4/5 0.82 0.802 8% 9 hundredths 3/4 _________ _________ _________ _________ ________ ________ [3] 10. A train leaves Manchester and arrives in London at 13:37 What time did the train depart Manchester if the total journey time was 173 minutes? Answer: _______________ [3] 11. The temperature at midday in Moscow is −3OC. Between midday and midnight the temperature in Moscow rises by 5 OC and then falls by 11 OC. What is the temperature at midnight in Moscow? Answer: _____________ [2] 12. In a class the ratio of boys to girls is 2 : 3 a) How many boys are in the class if there are 15 girls? Answer: _________ boys [1] b) How many more girls than boys are there in a class of 35 pupils? Answer: ________ more girls [2] Total ( /11) 13. I think of a number, add 4 and then multiply by 3. The result is 63. What was the number I thought of? Answer: ___________ [2] 14. You are given that 44460 ÷ 780 = 57 Use this result to give the answers to the questions below: a) 44460 ÷ 57 = Answer: _____________ [1] b) 57 × 780 = Answer: _____________ [1] c) 4446 ÷ 5.7 = Answer: _____________ [1] d) 7.8 × 5.7 = Answer: _____________ [1] e) 3 x 78 × 19 = Answer: _____________ [1] 15. Calculate (40% of 90) + (3/7 of 63) Answer: ___________ [2] Total ( /9) 21. Draw all the lines of symmetry on the shapes below: [3] Square Isosceles Triangle Regular Pentagon 22. To make 6 scones you need the following: 120g of flour 70g of butter 150ml of milk a) How much flour would be needed to make 7 scones? Answer: __________g [2] b) How much butter is required to make 9 scones? Answer: __________g [2] c) What is the maximum number of scones you can make with 1 litre of milk? Answer: ___________ [2] Total ( /9) 23. a) If the input is 16, what is the output? Answer: ____________ [1] b) If the input is 1, what is the output? Answer: ____________ [1] c) If the output is 3, what is the input? Answer: ____________ [2] d) If the output is n, what is the input? Answer: ____________ [2] 24. The diagram below represents a rectangular grass lawn surrounded by a gravel path on the outside. The width of the path is 0.5m. Gravel costs £5.70 per m2. What is the cost of gravel required to cover the path? Answer: £____________ [4] Total ( /10) Input Output Divide By 2 Subtract 7 8m 6m 0.5m Grass 25. A minibus can carry a maximum of 17 people. a) How many minibuses are required to take a total of 300 people on a trip? Answer: ___________ [2] b) How many empty seats will there be in total? Answer: ___________ [1] c) A minibus costs £80 to hire for the day. Tickets for the theme park cost £15 each. Write a formula for the total cost ‘C’ of hiring ‘m’ minibuses and purchasing ‘t’ tickets. Answer: C = _________________ [2] 26. I am thinking of a 2-digit number. When the number is divided by 5 the remainder is 2. When the number is divided by 7 the remainder is 4. What is the smallest 2-digit number that I was thinking of? Answer: ________ [2] Total ( /7)