作为英国顶尖的私立男校，华威学校是英国第五古老的大学，也是英国最历史悠久的私立男校，它以其悠长的历史、古典的建筑风格以及出众的学术成绩而闻名英国，因此，越来越多的学生去该校留学，可是，入读私校需要经过笔试，下面，小编就为大家带来了华威学校Warwick School year7数学入学考试笔试题，希望对大家有所帮助：
11+入学考试数学
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1. Work out:
a) 9728 + 675
Answer: ___________
b) 1003 − 637
Answer: ___________
c) 87 × 93
Answer: ___________
d) 7799 ÷ 11
Answer: ___________
2. Calculate
3. Find the missing numbers in each of these sequences. Write your answers in the boxes provided
b) Write 0.625 as a fraction in its lowest terms
Answer: ___________
d) Give the ratio 36 : 84 in its simplest form
Answer: ___________
5. A greengrocer is selling the following fruits:
Grapes at £1.54 per kilogram
Melons at £1.79 each
Nectarines at 87p per punnet
b) How much change would you get from £10 if you bought 1 kg of grapes, 1 melon and 1 punnet of nectarines? Give your answer in £
Answer: £________________
6. Find the number that is exactly halfway between 6.7 and 9.1
Answer: ___________
7. Give one answer only for each of the following questions:
a) Write down any multiple of 8 between 50 and 70
Answer: ________
b) Write down a prime number between 48 and 60
Answer: ________
c) Write down a factor of 90 that is between 12 and 25
Answer: ________
d) Write down a square number between 30 and 60
Answer: ________
e) Write down a 2-digit number that is both a square number and cube number
Answer: ________
8. How many small triangles would fit exactly into the larger rectangle?
9. Arrange these numbers in order from the smallest to the largest.
10. A train leaves Manchester and arrives in London at 13:37
What time did the train depart Manchester if the total journey time was 173 minutes?
Answer: _______________
11. The temperature at midday in Moscow is −3 ℃. Between midday and midnight the temperature in Moscow rises by 5 ℃ and then falls by 11 ℃. What is the temperature at midnight in Moscow?
Answer: _____________
12. In a class the ratio of boys to girls is 2 : 3
a) How many boys are in the class if there are 15 girls?
Answer: _________ boys
b) How many more girls than boys are there in a class of 35 pupils?
Answer: ________ more girls
13. I think of a number, add 4 and then multiply by 3. The result is 63.
What was the number I thought of?
Answer: ___________
14. You are given that 44460 ÷ 780 = 57
Use this result to give the answers to the questions below:
a) 44460 ÷ 57 =
Answer: _____________
b) 57 × 780 =
Answer: _____________
c) 4446 ÷ 5.7 =
Answer: _____________
d) 7.8 × 5.7 =
Answer: _____________
e) 3 x 78 × 19 =
Answer: _____________
16. The rectangle and triangle below have the same height.
If the perimeter of the rectangle (all 4 sides) is 32m, what is the area of the triangle?
Answer: __________m2
17.a) On the grid mark with a clear cross the coordinates (1, 3), (6, 3) and (4, 5).
b) A fourth point is plotted so that the shape above is a PARALLELOGRAM What is the coordinate of the point to be plotted?
Answer: (____,____)
18. The triangle in the diagram below is isosceles.
Calculate angle x
19. Edward has a sum of money. He gives one-third to his son George and three-fifths to his daughter Olivia. If George receives £15, how much does Olivia receive?
Answer: £__________
20. A bag contains coloured balls. There are 4 red, 2 blue and 1 green in the bag.
a) What fraction of the balls are red?
Answer: _______
21. Draw all the lines of symmetry on the shapes below:
22. To make 6 scones you need the following:
120g of flour
70g of butter
150ml of milk
a) How much flour would be needed to make 7 scones?
Answer: __________g
b) How much butter is required to make 9 scones?
Answer: __________g
c) What is the maximum number of scones you can make with 1 litre of milk?
Answer: ___________
a) If the input is 16, what is the output?
Answer: ____________
b) If the input is 1, what is the output?
Answer: ____________
c) If the output is 3, what is the input?
Answer: ____________
d) If the output is n, what is the input?
Answer: ____________
24. The diagram below represents a rectangular grass lawn surrounded by a gravel path on the outside. The width of the path is 0.5m.
Gravel costs £5.70 per m2.
What is the cost of gravel required to cover the path?
25. A minibus can carry a maximum of 17 people.
a) How many minibuses are required to take a total of 300 people on a trip?
Answer: ___________
b) How many empty seats will there be in total?
Answer: ___________
c) A minibus costs £80 to hire for the day. Tickets for the theme park cost £15 each. Write a formula for the total cost ‘C’ of hiring ‘m’ minibuses and purchasing ‘t’ tickets.
Answer: C = _________________
26. I am thinking of a 2-digit number.
When the number is divided by 5 the remainder is 2.
When the number is divided by 7 the remainder is 4.
What is the smallest 2-digit number that I was thinking of?
Answer: ________
27.The diagram represents a carton of orange juice in the shape of a cuboid.
The carton is full.
a) Using the formula Volume = length x width x height, calculate the volume of orange juice in the carton.
Answer: ___________ cm3
b) A cup holds 120 cm3 of liquid.
How many cups can be filled from the full carton of orange juice?
Answer: ___________
c) Jane drinks 216cm3 of orange juice from the carton.
What is the new height of orange juice in the carton?
Answer: ___________ cm
28. Homer, Marge and Bart each have $1000.
Homer gives 10% of his money to Marge. Marge then gives 10% of her new amount to Bart. Bart then gives 10% of his new amount to Homer.
How much has Homer got now?
Answer: $___________
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