ROYAL RUSSELL SCHOOL SAMPLE YEAR 7 MATHS PRACTICE PAPER – 1 by smoothmaths | Jul 4, 2020 | 0 comments Welcome to your ROYAL RUSSELL SCHOOL SAMPLE YEAR 7 MATHS PRACTICE PAPER - 1 Practice QuestionsEquipment: pen, pencil, rulerNo CalculatorRemember to show workings where appropriate 1. Look at the menu below:(a) Work out the cost of three beef burgers.£8.85£6.75£8.75£6.85£8.95 (b) Work out the cost of two sandwiches and five cups of coffee.£7.60£5.60£4.60£2.60£3.60 (c) How many cups of tea can be bought with £5?8cups4cups5cups7cups2cups 2. Work out the next three numbers in each of these sequences:(a) 20 17 14 ———— ———— ————11, 8, 512, 10, 88, 5, 1110, 6, 213, 12,11 (b) 1 4 9 16 ———— ———— ————25, 36, 4922, 32, 4928, 36, 5926, 37, 48None of the Above (c) 5 6 8 11 15 20 ———— ———— ————26, 33, 4125, 29, 3726,32, 3822, 30, 35None of the Above 3. How many cubes would you need to build the following cuboid?Answer: Volume = 4. (a) For each of the shapes below, choose a description and write it on the dottedline:(i) parallelogramIsosceles TriangleScalene TriangleKitePentagonTrapezium (ii) isosceles triangleScalene TriangleIsosceles TriangleKitePentagonTrapezium (iii) trapeziumTrapeziumParallelogramPentagonScalene TriangleIsosceles Triangle (iv) scalene triangleTrapeziumParallelogramPentagonScalene TriangleIsosceles Triangle (v) kite (vi) pentagon (b) Draw in any lines of symmetry that the shapes have. 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 6. (a) Convert 13.2 metres into centimetres1320cm132cm13200cm132000cmNone of the Above (b) Convert 430 millimetres into centimetres43cm4.3cm0.43cm4.03cmNone of the Above (c) Convert 2.1 kilometres into metres2100m210m2001m201m21000m 7. (a) What is ¼ of 68 ?1715161814 (b) What is ³/5 of 20?12916187 (c) What is 0.1 of £40 ?£4£2£6£8£10 (d) Simplify the fraction 24/364423044199442574452744256 (e) What is 0.03 re-written as a fraction ?\[\frac{3}{100}\]\[\frac{3}{10}\]\[\frac{3}{1000}\]0.011\[\frac{3}{1.1}\] (f) Find 1% of 200 kg2kg20kg0.2kg0.02kg0.00002kg (g) Work out ½ + ¼\[\frac{3}{4}\]\[\frac{2}{4}\]\[\frac{5}{4}\]\[\frac{7}{4}\]\[\frac{9}{4}\] 8. Work out the answers to the following. Show your workings clearly.(a) 23.1 – 16.76.416.47.417.46.6 (b) 821 x 161313612136130361203612046 (c) 4.1 × 728.724.732.721.7None of the Above (d) 42.3 ÷ 314.112.113.115.116.1 9.. In New York it is 23°C and in Moscow it is–5°C. What is the temperature difference?28818-85 10. If a = 5 and b = 10Work out:(i) b - a54632 (ii) 4b4015605455 (iii) 2a²5010025200400 11. (a) Write down the factors of 251, 5, 251, 3, 55, 253, 5, 251 , 6 , 26 (b) Write down the factors of 301, 2, 35, 610, 1530All of the Above (c) Write down the highest common factor of 25 and 3056432 (d) Write down the prime factors of 302315All of the Above except d 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\[cm^{2}\] (b) Find the perimeter of the rectangles p and q22cm9cm16cm10cm11cm 13. (a) In a survey 30% of people were left handed only, 10% were both left and righthanded. What percentage were right handed only ?0.60.40.50.30.7 (b) Find 50% of 804030102050 (c) 400 × 30120001200001200120None of the Above 14. Draw the lines of symmetry on the shape below : 15. (a) How many pieces of ribbon of 30cm length can be cut from a pieceof length 7 m ?23pieces21pieces28pieces24pieces26pieces (b) How many cm of ribbon are left over ?10cm left7 cm left23cm left17cm left13cm left 16. Work out:(a) 10 - 2 × 3424-121516 (b) 4× (8 - 2)2430282632 17. Solve:(a) x + 7 = 125196-712 (b) 10 – x = 64101668 (c) 3 x + 7 = 461311141517 (d) 124863 18. 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 (b) Calculate the range of pocket money.£3£2£5£4£7 (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 varriedAmounts are varriedAmounts varried mostlyAmounts varried SlightlyNone of the Above 19. 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 MoreAlex Pays MoreBoth Pay MoreBoth Pay EqualNone of the Above 20. 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 Children3 Adults, 1 Children1 Adults, 3 Children3 Adults, 5 Children5 Adults, 3 Children 21. 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 betterApple Coaches are BetterBoth are BadOrange is good but Apple is more betterApple is good but Orange is more better 22. 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£108None of the Above 23. 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 TilesAcorn TilesCarpet TillesBoth Acorn & Carpet TilesNone of the Above 24. (a) Plot the points (8, 12) and (5,12) on the grid below and join the points up tomake a straight line. (b) Tick the correct statement:This line is horizontalThis line is verticalThis Line is crookedThis Line is curveNone of the Above 25. In a dancing competition, the four judges gave marks ranging from –5 to 5,(whole numbers). There were 4 competitors.Andrew got top marks from every judge.Brian’s score was 4 less than Andrew.Carla and Donna both had the same final score of 7.Complete the table: Time is Up! Time's up