干货收藏 皇家罗素中学Royal Russell School year7数学入学考试题库 内附答案!

　　作为英国顶尖的私立混校，皇家罗素中学创建于1853年，距今已有160多年的历史，该校是一所专门培养全方位的学生，不仅为学生提供了各种各样的课余活动，比如舞蹈、体育、戏剧、音乐等等，而且还十分注重学生的学术成绩，因此，越来越多的学生去该校留学，可是，入读私校要进行笔试，小编就为大家带来了皇家罗素中学Royal Russell School year7数学入学考试题库，希望对大家有所帮助：

　　数学

　　设备:钢笔，铅笔，尺子

　　没有计算器

　　记得在适当的地方展示工作

　　1. Look at the menu below:

　　(a) Work out the cost of three beef burgers.

　　………………………………………………………………………………………….

　　………………………………………………………………………………………….

　　(b) Work out the cost of two sandwiches and five cups of coffee.

　　………………………………………………………………………………………….

　　………………………………………………………………………………………….

　　(c) How many cups of tea can be bought with £5?

　　………………………………………………………………………………………….

　　………………………………………………………………………………………….

　　2. Work out the next three numbers in each of these sequences:

　　(a) 20 17 14 .…….. ……… ………

　　(b) 1 4 9 16 …….. ……… ………

　　(c) 5 6 8 11 15 20 ……… ……… ……….

　　3. How many cubes would you need to build the following cuboid?

　　Volume = …………………..

　　4. (a) For each of the shapes below, choose a description and write it on the dotted line:

　　(i) parallelogram (ii) isosceles triangle (iii) trapezium

　　(iv) scalene 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 of the angles?

　　…………………………………………………………………………………

　　6. (a) Convert 13.2 metres into centimetres …………………

　　(b) Convert 430 millimetres into centimetres …………………

　　(c) Convert 2.1 kilometres into metres …………………

　　8. Work out the answers to the following. Show your workings clearly.

　　(a) 23.1 – 16.7 (b) 821 x 16

　　(c) 4.1 x 7 (d) 42.3 ÷ 3

　　10. If a = 5 and b = 10

　　Work out:

　　(i) b - a …………………………………………………………………

　　(ii) 4b ………………………………………………………………….

　　(iii) 2a² ………………………………………………………………….

　　11. (a) Write down the factors of 25 …………………………………………

　　(b) Write down the factors of 30 . ……………………………………….

　　(c) Write down the highest common factor of 25 and 30 ………………

　　(d) Write down the prime factors of 30 …………………………………

　　12. Calculate the area of the triangle (remember to write down the correct units)

　　(b) Find the perimeter of the rectangles p and q

　　13. (a) In a survey 30% of people were left handed only, 10% were both left and right handed. What percentage were right handed only ?

　　(b) Find 50% of 80 ………………………………………

　　(c) 400 × 30 ………………………………………

　　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 piece of length 7 m ?

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　(b) How many cm of ribbon are left over ?………………………………..

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　16. Work out:

　　(a)10  23 ………………………………………..………………..

　　(b)4(8  2) ………………………………………………………

　　17. Solve:

　　(a) x + 7 = 12

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　(b) 10 – x = 6

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　(c) 3 x + 7 = 46

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　18. The Archer family has 4 children who receive £2, £5, £3 and £2 pocket money each week.

　　(a) Calculate the average pocket money (use the “mean” average).

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　(b) Calculate the range of pocket money.

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　(c) The Jones family have 5 children who each receive an average of £3.50 a week and the range of amounts is £1.

　　Compare the amounts given to the children in these two families.

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　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 over the course of one year (12 months).

　　Who pays the most and by how much ? Show all of your working clearly.

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　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.

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　21. Mr Green is organising a school trip. In Year 5 there are 53 pupils and in Year 6 there 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.

　　…………………………………………………………………………………

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　………………………………………………………………………………….

　　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.

　　………………………………………………………………………………….

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　23. Mrs Suzie needs to cover a floor measuring 3m by 2m. There are three possible options:

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　…………………………………………………………………………………

　　24. (a) Plot the points (8, 12) and (5,12) on the grid below and join the points up to make a straight line.

　　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:

　　PRACTICE PAPER NUMERICAL ANSWERS

　　1. (a) £8.85

　　(b) £7.60

　　(c) 8 cups

　　2. (a) 11, 8, 5

　　(b) 25, 36, 49

　　(c) 26, 33, 41

　　3. 120 cubes

　　4. (a) Isosceles triangle, Scalene triangle, Trapezium

　　5. 60º.

　　6. (a) 1320 cm

　　(b) 43 cm

　　(c) 2100 m

　　7. (a) 17

　　(b) 12

　　(c) £4.00

　　(d) 2/3

　　(e) 3/100

　　(f) 2 kg

　　(g) ¾

　　8. (a) 6.4

　　(b) 13136

　　(c) 28.7

　　(d) 14.1

　　9. 28

　　10. (i) 5

　　(ii) 40

　　(iii) 50

　　11. (a) 1, 5, 25

　　(b) 1, 2, 3, 5, 6, 10, 15, 30

　　(c) 5

　　(d) 2, 3, 5

　　12. (a) 30 cm²

　　(b) (i) 22 cm

　　(ii) 2L + 2W

　　13. (a) 60%

　　(b) 40

　　(c) 12000

　　14. ---

　　15. (a) 23 pieces.

　　(b) 10 cm.

　　16. (a) 4

　　(b) 24

　　17. (a) x = 5

　　(b) x = 4

　　(c) x = 13

　　(d) x = 12

　　18. (a) £3.00

　　(b) 3

　　(c) The Jones, on average, have more pocket money, and are not as varied as

　　the Archers.

　　19. Emma pays more by £20.01.

　　20. 3 adults and 3 children.

　　21. Apple Coaches will cost £800. Orange Coaches cost £750. Therefore Orange are cheaper.

　　22. 6 packs of party bags, 9 packs of lolly-pops, 8 packs of toys. Total cost £96 (inc. offer)

　　23. Acorn Tiles cost £96. Beeching Tiles cost £75. Carpet cost £114. Therefore Beeching is the cheapest.

　　24. (a) --

　　(b) The line is horizontal.

　　25. Top row (Andrew): 5, 5, 5, 5 Total 20

　　2^nd row (Brian) -, -, -, 4 Total 16

　　3^rd row (Carla) -, -, 1, - Total 7

　　4^th row (Donna) -, -, -, 5 Total 7

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