Royal Russell School YEAR 7 Entrance Examination MathematicsOnline Quiz view all papers Welcome to your ROYAL RUSSELL SCHOOL SAMPLE YEAR 7 MATHS PRACTICE PAPER - 1Practice QuestionsEquipment: pen, pencil, rulerNo CalculatorRemember to show workings where appropriate1. Look at the menu below:(a) Work out the cost of three beef burgers. £8.85 £6.75 £8.75 £6.85 £8.95 None (b) Work out the cost of two sandwiches and five cups of coffee. £7.60 £5.60 £4.60 £2.60 £3.60 None (c) How many cups of tea can be bought with £5? 8cups 4cups 5cups 7cups 2cups None 2. Work out the next three numbers in each of these sequences:(a) 20 17 14 ———— ———— ———— 11, 8, 5 12, 10, 8 8, 5, 11 10, 6, 2 13, 12,11 None (b) 1 4 9 16 ———— ———— ———— 25, 36, 49 22, 32, 49 28, 36, 59 26, 37, 48 None of the Above None (c) 5 6 8 11 15 20 ———— ———— ———— 26, 33, 41 25, 29, 37 26,32, 38 22, 30, 35 None of the Above None 3. How many cubes would you need to build the following cuboid?Answer: 120 cubes 130 cubes 140 cubes 160 cubes 170 cubes None 4. (a) For each of the shapes below, choose a description and write it on the dottedline:(i) parallelogram Isosceles Triangle Scalene Triangle Kite Pentagon Trapezium None (ii) isosceles triangle Scalene Triangle Isosceles Triangle Kite Pentagon Trapezium None (iii) trapezium Trapezium Parallelogram Pentagon Scalene Triangle Isosceles Triangle None 5. An equilateral triangle has three sides the same length. What is the size of one ofthe angles ? \[60^{o}\] each angle \[30^{o}\] each angle \[45^{o}\] each angle \[50^{o}\] each angle \[90^{o}\] each angle None 6. (a) Convert 13.2 metres into centimetres 1320cm 132cm 13200cm 132000cm None of the Above None (b) Convert 430 millimetres into centimetres 43cm 4.3cm 0.43cm 4.03cm None of the Above None (c) Convert 2.1 kilometres into metres 2100m 210m 2001m 201m 21000m None 7. (a) What is ¼ of 68 ? 17 15 16 18 14 None (b) What is ³/5 of 20? 12 9 16 18 7 None (c) What is 0.1 of £40 ? £4 £2 £6 £8 £10 None (d) Simplify the fraction 24/36 44230 44199 44257 44527 44256 None (e) What is 0.03 re-written as a fraction ? \[\frac{3}{100}\] \[\frac{3}{10}\] \[\frac{3}{1000}\] 0.011 \[\frac{3}{1.1}\] None (f) Find 1% of 200 kg 2kg 20kg 0.2kg 0.02kg 0.00002kg None (g) Work out ½ + ¼ \[\frac{3}{4}\] \[\frac{2}{4}\] \[\frac{5}{4}\] \[\frac{7}{4}\] \[\frac{9}{4}\] None 8. Work out the answers to the following. Show your workings clearly.(a) 23.1 – 16.7 6.4 16.4 7.4 17.4 6.6 None (b) 821 x 16 13136 12136 13036 12036 12046 None (c) 4.1 × 7 28.7 24.7 32.7 21.7 None of the Above None (d) 42.3 ÷ 3 14.1 12.1 13.1 15.1 16.1 None 9.. In New York it is 23°C and in Moscow it is–5°C. What is the temperature difference? 28 8 18 -8 5 None 10. If a = 5 and b = 10Work out:(i) b - a 5 4 6 3 2 None (ii) 4b 40 15 60 54 55 None (iii) 2a² 50 100 25 200 400 None 11. (a) Write down the factors of 25 1, 5, 25 1, 3, 5 5, 25 3, 5, 25 1 , 6 , 26 None (b) Write down the factors of 30 1, 2, 3 5, 6 10, 15 30 All of the Above None (c) Write down the highest common factor of 25 and 30 5 6 4 3 2 None (d) Write down the prime factors of 30 2 3 1 5 All of the Above except d None 12. Calculate the area of the triangle (remember to write down the correct units)(a) 30\[cm^{2}\] 60\[cm^{2}\] 40\[cm^{2}\] 50\[cm^{2}\] 90\[cm^{2}\] None (b) Find the perimeter of the rectangles p and q 22cm 9cm 16cm 10cm 11cm None 13. (a) In a survey 30% of people were left handed only, 10% were both left and righthanded. What percentage were right handed only ? 0.6 0.4 0.5 0.3 0.7 None (b) Find 50% of 80 40 30 10 20 50 None (c) 400 × 30 12000 120000 1200 120 None of the Above None 14. (a) How many pieces of ribbon of 30cm length can be cut from a pieceof length 7 m ? 23pieces 21pieces 28pieces 24pieces 26pieces None (b) How many cm of ribbon are left over ? 10cm left 7 cm left 23cm left 17cm left 13cm left None 15. Work out:(a) 10 - 2 × 3 4 24 -12 15 16 None (b) 4× (8 - 2) 24 30 28 26 32 None 16. Solve:(a) x + 7 = 12 5 19 6 -7 12 None (b) 10 – x = 6 4 10 16 6 8 None (c) 3 x + 7 = 46 13 11 14 15 17 None (d) 12 4 8 6 3 None 17. The Archer family has 4 children who receive £2, £5, £3 and £2 pocket moneyeach week.(a) Calculate the average pocket money (use the “mean” average). £3 £4 £2 £6 £5 None (b) Calculate the range of pocket money. £3 £2 £5 £4 £7 None (c) The Jones family have 5 children who each receive an average of £3.50 aweek and the range of amounts is £1.Compare the amounts given to the children in these two families. Amounts are not varried Amounts are varried Amounts varried mostly Amounts varried Slightly None of the Above None 18. Alex and Emma buy the same type of bike. Alex pays £169.99 cash from his birthday money.Emma pays a deposit of £70.00 and then pays instalments of £10 per month overthe course of one year (12 months).Who pays the most and by how much ? Show all of your working clearly. Emma Pays More Alex Pays More Both Pay More Both Pay Equal None of the Above None 19. The entry prices at a theme park are: Adults £20.00 & Children £15.00.A group visited the theme park and were charged £105.00. How many adults &children were in the party? There was at least one adult.Show all of your working clearly. 3 Adults, 3 Children 3 Adults, 1 Children 1 Adults, 3 Children 3 Adults, 5 Children 5 Adults, 3 Children None 20. Mr Green is organising a school trip. In Year 5 there are 53 pupils and in Year 6there are 46 pupils. There will also be 28 adults.Mr Green has two options:Help Mr Green find the best deal. Show your workings & give your choice. Orange Coaches are better Apple Coaches are Better Both are Bad Orange is good but Apple is more better Apple is good but Orange is more better None 21. Mrs Walker is planning a party for her grand-daughter and there will be 70 children in total. Each child will have a party bag to take home with a lollipop and a toy.Empty party bags are sold in packs of 12 and cost £2 per pack.Lollipops are sold in packs of 8 and cost £4 per pack.Toys are sold in packs of 9 and cost £10 per pack.As a special new year offer, all prices are reduced by one quarter.How many packs of each item will she need to buy and what will be her total cost?Show all your working clearly. £96 £72 £84 £108 None of the Above None 22. Mrs Suzie needs to cover a floor measuring 3m by 2m. There are three possibleoptions:Which option is the cheapest? Show all your workings & explain clearly. Beeching Tiles Acorn Tiles Carpet Tilles Both Acorn & Carpet Tiles None of the Above None Time's up
