The Perse School 11 Plus Maths Specimen Paper 5 Online Quiz View all papers Welcome to your THE PERSE SCHOOL 11+ Year 7 Entrance Exams Maths Specimen Paper 51. Find 2000 - 12 + 20 - 12 1996 1998 1994 1992 1995 None 2. Calculate \[\frac{7}{12}\] of 864 504 600 520 405 604 None 3. The table below lists the charges on a new toll road DaytimeNightLorry£6£4.50Car£3£2Motorbike£2.50£1Van£4£3 (a) How much would a lorry driver and a car driver save altogether by travelling at night? £2.50 £3.50 £4.50 £1.50 £5.50 None (b) During one night, the toll road is used by 100 cars, 200 lorries and 20 vans. How much money is collected altogether? £1160 £960 £1250 £560 £1360 None 4. t x 0.805 = 8050 What is the value of t? 10000 6480 8049 9000 None of the Above None 5. Calculate the missing angle in the triangle shown below 27° 37° 45° 30° 25° None 6. Frank chooses two different numbers from the bubble shown below, and divides one number by the other. (a) What is the largest number he can get? 2 5 1 4 3 None (b) What is the smallest result? \[\frac{1}{2}\] \[\frac{5}{6}\] \[\frac{2}{3}\] \[\frac{4}{3}\] \[\frac{1}{3}\] None (c) What division gives the result closest to 1? 10 ÷ 12 8 ÷ 10 16 ÷ 12 16 ÷ 10 8 ÷ 12 None 7. Calculate [Write your answer as a mixed number] (a) 5 \[\frac{2}{3}\] + 2 \[\frac{3}{5}\] 8\[\frac{4}{15}\] 7\[\frac{5}{8}\] 4\[\frac{8}{15}\] 5\[\frac{10}{15}\] None of the Above None (b) 6 x 2 \[\frac{2}{3}\] 16 8 4 6 18 None 8. Frank is making a sequence of numbers. The first number is 1 and the third is 9. Frank gets his sequence by multiplying the previous value by the same number each time. Write in the three missing numbers in the sequence shown.1. ___9,___,___ 3, 27 ,81 3, 12, 24 3, 6, 12 3, 18, 27 None of the Above None 9. Solve each of the following equations: (a) 8 - χ = 2 6 10 4 8 12 None (b) x + \[\frac{1}{3}\] = 1 \[\frac{1}{4}\] \[\frac{11}{12}\] \[\frac{1}{3}\] \[\frac{3}{12}\] \[\frac{1}{4}\] Both c & d None 10. On the ski slopes the depth of the snow is 160cm and each day 3cm melts. After how many days will the depth of snow have fallen to 124cm. 12 80 59 18 16 None 11. Frank catches the 7.52 train from Cambridge to Northampton and he arrives in Northampton at 9.21. How long was is journey? Give your answer in hours and minutes. 1hour 29mins 2hours 19mins 1hour 19mins 1hour 9mins None of the Above None 12. Here is a rectangular tile. A pattern is made using 4 of these tiles. (a) What is the perimeter of the outer edge of the design? 40cm 30cm 70cm 20cm 50cm None (b) What is the perimeter of the square left empty in the middle? 16cm 12cm 28cm 18cm 26cm None 13. (a) In one hour how many degrees does the hour hand of a clock move? 30° 40° 60° 50° 45° None (b) How many degrees does the hour hand move between 1.10am and 4.30am? 100° 110° 90° 120° 80° None 14. What is the average of \[\frac{1}{2}\] and \[\frac{1}{3}\]? \[\frac{5}{12}\] \[\frac{5}{6}\] \[\frac{10}{6}\] \[\frac{3}{12}\] \[\frac{7}{12}\] None 16. Frank does the following calculations. Mark his work by putting a tick of a cross in the boxes, to indicate which Frank has correct and which he has wrong. 22 - 7 x = 45 FALSE TRUE Nuetral Not sure None of the Above None 10 x 2 + 7 x 7 = 69 FALSE TRUE Nuetral Not sure None of the Above None 12 +3 x 7 - 3 = 30 FALSE TRUE NUETRAL Not sure None of the Above None 30 ÷ 3 + 2 = 6 FALSE TRUE NEUTRAL NOT SURE none of the above None 24 ÷ 4 - 3 x 2 = 0 FALSE TRUE Nuetral Not sure None of the Above None 17. Granddad spends one quarter of his weekly pension on a Friday night out, and one third of what remains on a Saturday night. What fraction of his weekend pension is left for him to spend during the rest of the week? \[\frac{1}{2}\] \[\frac{1}{3}\] \[\frac{3}{4}\] \[\frac{1}{4}\] None of the Above None 18. The bar chart shows the sales of pizza at a restaurant for the days shown. Use the information in the bar chart to answer the following questions: (a) How many more pizzas were sold on Tuesday than on Saturday? 4 2 6 3 5 None (b) What is the average (mean) number of pizzas sold per day? 10 16 12 20 15 None 19. Find the values of A, B and C in the following addition sum. A=5, B=9, C=3 A=6, B=8, C=1 A=4, B=10, C=2 A=3, B=7, C=5 A=7, B=11, C=4 None 20. There are 200 sheets of paper in a pad. The pad is 1.6cm thick. Find the thickness of one sheet. (a) in cm 0.800cm 1.8cm 0.500cm 0.600cm None of the Above None (b) in mm 0.08mm 0.18mm 0.05mm 0.06mm 0.008mm None 21. Exactly one of these statements is correct. Which one? A. \[43^{2}\] + \[56^{2}\] = 4981 B. \[55^{2}\] + \[66^{2}\] = 7387 C. \[77^{2}\] + \[22^{2}\] = 6415 D. \[44^{2}\]+ \[63^{2}\] = 5905 E. \[34^{2}\] + \[51^{2}\] = 3756 \[44^{2}\] + \[63^{2}\] = 5905 \[43^{2}\] + \[56^{2}\] = 4981 \[55^{2}\] + \[66^{2}\] = 7387 \[77^{2}\] + \[22^{2}\] = 6415 \[34^{2}\] + \[51^{2}\] = 3756 None 22. I have 3 cats—Fred, Gary and Harry. When I weigh Fred and Gary they come to 12kg more than Harry. When I weigh Gary and Harry they weigh 8kg more than Fred and when I weigh Fred and Harry they weigh 14kg more than Gary. What is the combined weight of all three cats? 34kg 24kg 44kg 14kg 54kg None Time's up
