THE PERSE SCHOOL Paper 4 by smoothmaths | Jul 27, 2020 | 0 comments Welcome to your THE PERSE SCHOOL 11+ Year 7 Entrance Exams Maths Specimen Paper 4 1. Fill in the missing digits to complete the following multiplication: 2005 = 5 x ___ 401 41 405 400 350 None 2. Calculate each of the following: (a) 23 \[\frac{1}{3}\] + 7 \[\frac{3}{4}\] 31\[\frac{1}{2}\] 10\[\frac{1}{7}\] 29\[\frac{15}{12}\] 21\[\frac{3}{7}\] 25\[\frac{29}{12}\] None (b) 4 \[\frac{1}{3}\] x 7 30\[\frac{1}{3}\] 10\[\frac{11}{3}\] 28 \[\frac{1}{3}\] 30\[\frac{2}{3}\] None 3. What is the mass of 16 tins, each of mass 178g? Give your answer in kilograms. 2.848kg 1.246kg 2.808kg 1.428kg 2.408kg None 4. Which ONE of the following numbers is NOT divisible by 3? A. 18171 B. 44481 C. 38501 D. 57060 C B D A none of the above None 5. A model tower block is made from centimetre cubes as shown below: It is 5cm by 3cm by 2cm (a) What is the volume of this tower? 30\[cm^{3}\] 15\[cm^{3}\] 6\[cm^{3}\] 10\[cm^{3}\] 20\[cm^{3}\] None (b) Another tower is built with 72 centimetre cubes. What could be the length, height and width of this tower? length=12cm,hieght=2cm,width=3cm length=8cm,hieght=2cm,width=3cm length=12cm,hieght=6cm,width=3cm length=12cm,hieght=2cm,width=4cm length=10cm,hieght=2cm,width=3cm None 6. Calculate (a) 18 - (9 - 7) 16 2 10 8 12 None (b) (18 - 9) - 7 2 16 8 9 15 None (c) (80 ÷ 20) ÷ 4 1 16 5 8 9 None (d) 80 ÷ (20 ÷ 4) 16 1 8 12 18 None 7. What fraction of the shape shown has been shaded? 44389 44518 44334 44328 44199 None 8. Calculate (a) 37 x 9 333 273 330 290 300 None (b) 3408 - 2159 1249 1259 1349 1359 1250 None (c) 87.32 + 19.8 107.12 106.12 97.12 96.12 89.3 None (d) 5.4 x 0.8 4.32 4.02 5.08 9.72 43.2 None 9. What is the smaller angle between the hands of a clock at five o’clock? 150 degrees 120 degrees 80 degrees 75 degrees 110 degrees None 10. Four of these numbers can make two pairs so that each pair adds up to 5871. Which number is the odd one out? A. 1917 B. 2743 C. 3008 D. 3954 E. 2863 B C D E A None 11. Write down any two prime numbers between 45 and 60. 47,53 46,53 47,51 47,57 47,55 None 12. Cans of coke cost £1.16 each. I buy 4 cans and pay with a £10 note. How much change do I receive? £5.36 £6.64 £5.56 £5 £5.16 None 13. 7 15 20 14 2 36 5 12 19 Stuart chooses a number from the grid shown above. He is equally likely to choose any of these numbers. What is the probability that the number he chooses is: (a) even \[\frac{5}{9}\] \[\frac{1}{3}\] \[\frac{4}{9}\] \[\frac{3}{9}\] \[\frac{2}{9}\] None (b) a multiple of 5 \[\frac{1}{3}\] \[\frac{3}{9}\] \[\frac{1}{2}\] \[\frac{2}{9}\] both a&b None (c) a prime number \[\frac{4}{9}\] \[\frac{3}{9}\] \[\frac{5}{9}\] \[\frac{6}{9}\] \[\frac{2}{9}\] None (d) not a multiple of 3 \[\frac{2}{3}\] \[\frac{6}{9}\] \[\frac{5}{9}\] \[\frac{4}{9}\] \[\frac{1}{3}\] None 14. 6764 ÷ 89 = 76 Use this result to write down the answers to each of the following: (a) 6764 ÷ 76 89 76 85 87 90 None (b) 7.6 ÷ 0.89 6.674 66.74 667.4 0.6674 0.06674 None 15. A cookbook gives the time to cook a turkey as “25 minutes per kilogram plus an additional 30 minutes” (a) How long will it take to cook at 4kg turkey? 2 hrs 10 mins 1 hr 50 mins 2 hrs 50 mins 1 hr 40 mins 3 hrs 50 mins None (b) If I wish to have the 4kg turkey ready to eat at 1.15pm what is the latest time I should start cooking it? 11:05am 11:25am 11:00am 11:45am 12:45am None (c) I calculate on another occasion that the turkey I have bought will take 3 hours to cook. How heavy is this turkey? 6kg 4kg 3kg 9kg 2kg None 16. After the first 5 weeks of the holiday, Stuart has earned an average of £11 per week. In his sixth week he earns £23. What is his new average weekly wage? £ 13 £ 10 £ 8 £ 12 £ 15 None 17. Find the value of χ in the diagram below x=130 x=180 x=120 x=70 x=110 None 18. Tosco and Sunbury are two supermarket chains. They each sell a variety of difference cheeses. The amounts of cheese sold in 1 week, by each supermarket, are shown in the pie charts below. (a) Estimate the amount of Brie sold by Tosco in 1 week. 75kg 55kg 80kg 65kg 70kg None (b) Stuart says that Tosco sold more Gloucester cheese, in one week, that Sunbury. Explain why Stuart may be wrong. Sun bury would have sold more Sun bury would not have sold more Tusco would have sold more Tusco would not have sold more none of the above None 19. On the planet Zorgon, the natives have a special sort of arithmetic using the symbol * 3 * 4 means add 3 and 4 and then add on the product of 3 and 4, so 3 * 4 = 3 + 4 + (3 x 4) = 19 And similarly, 2 * 6 = 2 +6 + (2 x 6) = 20 Find the values of (a) 5 * 7 47 37 40 35 12 None (b) 0 * 9 9 0 81 18 10 None (c) If χ * 2 + 23 find the value of χ x=7 x=8.3 x=6 x=4 x=5 None Time's up
