THE PERSE SCHOOL Paper 5 by smoothmaths | Jul 28, 2020 | 0 comments Welcome to your THE PERSE SCHOOL 11+ Year 7 Entrance Exams Maths Specimen Paper 5 1. Find 2000 - 12 + 20 - 1219961998199419921995 2. Calculate \[\frac{7}{12}\] of 864 504600520405604 3. The table below lists the charges on a new toll road Daytime Night Lorry £6 £4.50 Car £3 £2 Motorbike £2.50 £1 Van £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 (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 4. t x 0.805 = 8050 What is the value of t?10000648080499000None of the Above 5. Calculate the missing angle in the triangle shown below 27°37°45°30°25° 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?25143 (b) What is the smallest result?\[\frac{1}{2}\]\[\frac{5}{6}\]\[\frac{2}{3}\]\[\frac{4}{3}\]\[\frac{1}{3}\] (c) What division gives the result closest to 1? 10 ÷ 128 ÷ 1016 ÷ 1216 ÷ 108 ÷ 12 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 (b) 6 x 2 \[\frac{2}{3}\] 1684618 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 ,813, 12, 243, 6, 123, 18, 27None of the Above 9. Solve each of the following equations: (a) 8 - χ = 26104812 (b) x + \[\frac{1}{3}\] = 1 \[\frac{1}{4}\] \[\frac{11}{12}\]\[\frac{1}{3}\]\[\frac{3}{12}\]\[\frac{1}{4}\]Both c & d 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.1280591816 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 29mins2hours 19mins1hour 19mins1hour 9minsNone of the Above 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?40cm30cm70cm20cm50cm (b) What is the perimeter of the square left empty in the middle?16cm12cm28cm18cm26cm 13. (a) In one hour how many degrees does the hour hand of a clock move?30°40°60°50°45° (b) How many degrees does the hour hand move between 1.10am and 4.30am?100°110°90°120°80° 14. What is the average of \[\frac{1}{2}\] and \[\frac{1}{3}\]?\[\frac{5}{12}\]\[\frac{5}{6}\]\[\frac{10}{6}\]\[\frac{3}{12}\]\[\frac{7}{12}\] 15. Complete the following table. The first one has been done for you. (leave all fractions in their lowest form) Fraction Decimal Percentage \[\frac{7}{10}\] 0.7 70% \[\frac{2}{5}\] 0.65 \[\frac{17}{25}\] 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 = 45FALSETRUENuetralNot sureNone of the Above 10 x 2 + 7 x 7 = 69FALSETRUENuetralNot sureNone of the Above 12 +3 x 7 - 3 = 30FALSETRUENUETRALNot sureNone of the Above 30 ÷ 3 + 2 = 6FALSETRUENEUTRALNOT SUREnone of the above 24 ÷ 4 - 3 x 2 = 0FALSETRUENuetralNot sureNone of the Above 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 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?42635 (b) What is the average (mean) number of pizzas sold per day?1016122015 19. Find the values of A, B and C in the following addition sum. A=5, B=9, C=3A=6, B=8, C=1A=4, B=10, C=2A=3, B=7, C=5A=7, B=11, C=4 20. There are 200 sheets of paper in a pad. The pad is 1.6cm thick. Find the thickness of one sheet. (a) in cm0.800cm1.8cm0.500cm0.600cmNone of the Above (b) in mm0.08mm0.18mm0.05mm0.06mm0.008mm 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 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?34kg24kg44kg14kg54kg Time is Up! Time's up