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 ___40141405400350 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\[\frac{29}{12}\] (b) 4 \[\frac{1}{3}\] x 7 30\[\frac{1}{3}\]10\[\frac{11}{3}\]28\[\frac{1}{3}\]30\[\frac{2}{3}\] 3. What is the mass of 16 tins, each of mass 178g? Give your answer in kilograms.2.848kg1.246kg2.808kg1.428kg2.408kg 4. Which ONE of the following numbers is NOT divisible by 3? A. 18171 B. 44481 C. 38501 D. 57060CBDAnone of the above 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\[cm^{3}\] (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=3cmlength=8cm,hieght=2cm,width=3cmlength=12cm,hieght=6cm,width=3cmlength=12cm,hieght=2cm,width=4cmlength=10cm,hieght=2cm,width=3cm 6. Complete the following diagram so that the dotted line becomes an axis of symmetry. 7. Calculate (a) 18 - (9 - 7)16210812 (b) (18 - 9) - 72168915 (c) (80 ÷ 20) ÷ 4116589 (d) 80 ÷ (20 ÷ 4)16181218 8. What fraction of the shape shown has been shaded? 4438944518443344432844199 9. Calculate (a) 37 x 9333273330290300 (b) 3408 - 215912491259134913591250 (c) 87.32 + 19.8107.12106.1297.1296.1289.3 (d) 5.4 x 0.84.324.025.089.7243.2 10. What is the smaller angle between the hands of a clock at five o’clock?150 degrees120 degrees80 degrees75 degrees110 degrees 11. 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. 2863BCDEA 12. Write down any two prime numbers between 45 and 60.47,5346,5347,5147,5747,55 13. Fill in the spaces in the following table: (the first one has been done for you) [fractions should be left in their lowest terms] Fraction Decimal Percentage \[\frac{1}{2}\] 0.5 50% \[\frac{3}{4}\] 20% 0.45 14. 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 15. 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\[\frac{5}{9}\]\[\frac{1}{3}\]\[\frac{4}{9}\]\[\frac{3}{9}\]\[\frac{2}{9}\] (b) a multiple of 5 \[\frac{1}{3}\]\[\frac{3}{9}\]\[\frac{1}{2}\]\[\frac{2}{9}\]both a&b (c) a prime number\[\frac{4}{9}\]\[\frac{3}{9}\]\[\frac{5}{9}\]\[\frac{6}{9}\]\[\frac{2}{9}\] (d) not a multiple of 3 \[\frac{2}{3}\]\[\frac{6}{9}\]\[\frac{5}{9}\]\[\frac{4}{9}\]\[\frac{1}{3}\] 16. 6764 ÷ 89 = 76 Use this result to write down the answers to each of the following: (a) 6764 ÷ 768976858790 (b) 7.6 ÷ 0.896.67466.74667.40.66740.06674 17. 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 mins1 hr 50 mins2 hrs 50 mins1 hr 40 mins3 hrs 50 mins (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?11:05am11:25am11:00am11:45am12:45am (c) I calculate on another occasion that the turkey I have bought will take 3 hours to cook. How heavy is this turkey?6kg4kg3kg9kg2kg 18. 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 19. Find the value of χ in the diagram below x=130x=180x=120x=70x=110 20. 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.75kg55kg80kg65kg70kg (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 moreSun bury would not have sold moreTusco would have sold moreTusco would not have sold morenone of the above 21. 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 * 74737403512 (b) 0 * 990811810 (c) If χ * 2 + 23 find the value of χx=7x=8.3x=6x=4x=5 Time is Up! Time's up