F
Level F
Your score Class average
/ 61 =
% %
2
Practical test Time allowed: 20 minutes 20
SCORE
20
AVERAGE
Write the missing number. Answer the questions (1-3).
1
(5+
) x 4 = 92
2
+ 0.58 = 1
3
รท 8 = 243
Answer the questions (4-6). Two apples weigh the same as 50 plum tomatoes. One pomegranate weighs the same as five tangerines. Five tangerines weigh the same as 40 plum tomatoes. How many plum tomatoes weigh the same as one apple, two pomegranates and one tangerine?
4
Level F
one apple
5
two pomegranates
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6
one tangerine
3
7
What number is exactly half way between 5.5 and 6.2?
8
8 buns require 240 grams of flour. How many buns could I bake using 360g of flour?
9
A plane flies 900km in one and a half hours. What is its speed in km/hour?
10
What is the time difference between 5.25pm and 7.08pm?
11
What is the area of this shape?
6m
6m 8m
12m 10m
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Week 11
4
The pie chart shows the results when 96 students voted for their favourite football team. How many students support the following teams? Answer the questions (12-16).
Manchester United
12
Arsenal
13
Tottenham
14
Leeds
15
Crystal Palace
16
Manchester United
Arsenal
Tottenham
Crystal Palace Leeds
17
Level F
The perimeter of the square below is 21.6cm. The square is cut into three equal rectangles. What is the area of one rectangle?
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5
18
A factory bought 7 machines and each machine costs ÂŁ1250. If one fifth of the price was added as tax to the total cost, how much did the factory pay in total?
19
A cuboid has faces with areas 24cm2, 32cm2 and 48cm2. What is the length, width and depth of the cuboid?
20
Which one of the following fractions is closest to 11 40
16 60
21 80
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1 4
?
26 100
31 120
Week 11
6
Percentage Percentage (%) of an Amount In the following 4 types of questions, A percentage is given and an amount has to be found: 1
Basic % of an amount; Find 20% of £40. 40 x 0.2( =
3
2
20 ) = £8 100
Increasing amount by %; Increase £40 by 20%. What is the new price? £40 + ( £40 x 0.2 ) = £48
Decreasing amount by %; Decrease £40 by 20%. What is the new price?
4
£40 − ( £40 x 0.2 ) = £32
Find an original amount; If 20% of a number is 5, what is the whole amount? x5 5 : 20% = A : 100% 5 x 5 = 25
Using the method shown above, answer the following questions. a
Find 23% of 500.
b
Find 20% of £55.
c
Find 25% of 256.
d
Find 15% of 65.
e
Find 30% of 450.
f
Find 60% of 1200.
g
The price of a 90p apple is increased by 70%. What is the new price?
Level F
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/7
7
h
Decrease £36 by 25%. What is the new price?
i
What is the whole amount if 20% is £25?
j
Among 40 children in a class, 5 children are absent. What percentage of the children are absent?
k
A loaf of white bread has 2% fat. How much fat is there in a 900g loaf?
l
A piece of cheese contains 12g of fat. According to the label the cheese is 30% fat. What is the weight of the piece of cheese?
m
There are 240 apples in a barrel. 15% are rotten. How many apples can be eaten?
n
A carton of orange juice normally contains 250ml. In a special offer, 10% extra is given ‘free’. How much juice is there in the special offer carton?
o
20% of the 350 passengers on a plane have not flown before. How many passengers have flown before?
p
Last month, a factory produced 500 products. If it makes 24% more this month, how many products does the factory produce this month?
q
A burger normally costs £7, but the restaurant is offering 20% off the normal price. How much does the burger now cost? www.oxbridgeuk.com
/ 10 Week 11
8
Amount to Percentage (%) In the following, there are 3 types of question. An amount is given and a percentage has to be found: 1
Basic amount to %; What percentage is 20 out of 40? 20 x 100 = 50% 40
2
Percentage increase; 40 is increased to 60. What percentage is it increased by? Increased price : 60 − 40 = 20 increased price 20 x 100 = x 100 = 50% original price 40
3
Percentage decrease; 40 is decreased to 30. What percentage is it decreased by? Decreased price : 40 − 30 = 10 decreased price 10 x 100 = x 100 = 25% original price 40
Using the board above, answer the following questions. a
Jared’s weight increased from 60kg to 72kg. What is the percentage increase of his weight?
b
In a class of 40 people, only 14 people completed their homework. What percentage of the class didn’t complete their homework?
c
There was 750g of cereal in a box. If there is only 225g of cereal left in the box, what is the percentage decrease of the box’s weight?
Level F
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/3
9
d
A shop used to sell a jumper for £30 but it is now selling at £36. By what percentage has the price increased?
e
A girl saves £250 for an MP3 player but it increases in price to £280. What is the percentage increase in price?
f
A boy buys a book for £20 and later sells it for £3. What did he lose as a percentage?
g
A factory produced 1000 CDs last year. It has produced 1450 CDs this year. What percentage is it increased by?
h
David ate 3 sweets out of 15, and Molly ate 5 sweets out of 20. How many percent did Molly eat more than David?
i
Oliver has 40 apple trees. 28 of them are affected by a disease. What percentage of the trees are not affected?
j
In a test at school, Becky receives 19 marks out of a possible 25. What is Becky’s mark as a percentage?
k
The normal price of a car is £12,000. Mr. Jones gets a discount of £360. What is the discount as a percentage?
l
In a school, 20% of the boys and 2% of the girls play football regularly. There are 400 boys and 500 girls in the school. What percentage of students play football regularly? www.oxbridgeuk.com
/9 Week 11
10
Compare two numbers and write the correct sign such as <, > or =. 3 2
1.57
45%
0.405
3 5
60%
1 8
0.12
40%
0.5
5 8
61%
55 10
0.55
4.3
43%
9 10
91%
503 100
0.503
0.115
11%
3 4
80%
Rewrite the numbers in order, starting with smallest. a
b
c
d
1 3
56%
67%
0.606
4 5
76%
21%
0.3
0.57
5 8
0.876
1 5
1 2
0.4
6%
0.065
3 4
33%
0.705
0.218
35%
2 3
80.5%
1 3
Level F
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/ 16
11
Problem Solving a
The price of a new bicycle is £80 and is increased by 5%. What is the new selling price?
b
A shop has a sale and reduces the price of DVDs by 10%. One DVD now costs £8.10. What was the original price of DVDs?
c
In a sale all items are reduced by 20%. How much does Grace save when she buys 2 books originally costing £8 and £12?
d
A hair shop cuts the price of a £50 hair perm by 15%. What is the new cost?
e
Anna got 80% in her English test. She got 170 out of 200 in her maths test. Which subject did she do better in?
f
Last year a garage sold 250 new cars. This year 12% lower cars were sold. How many cars were sold this year?
g
In a January sale the price of a £20 shirt was reduced by 10%. In February the sale price was decreased by 10%. What was the price of the shirt in February?
h
30% of this rectangle is an oval, 40% of the oval is a circle. Calculate the areas of the oval and circle. 18cm oval 10cm
circle
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/8 Week 11
Most cheeses contain fat, some more than others. First, write the fat content of each cheese as a percentage. Then put the cheeses in descending order, starting with the cheese that has the highest fat content.
a
Danish Blue is 28% fat.
b
50g of Blue Stilton contains 18g of fat.
c
21% of Camembert is fat.
d
A 20g piece of Edam has 5g of fat in it.
e
Red Leicester is one third fat. (Round to the nearest percent)
f
There is 18g of fat in 40g of Mascarpone.
g
1kg of Quark contains 20g of fat.
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Published by OxBridge Centre (UK).Ltd Author Myounghi Nam
/8
ISBN 978-1-78395-360-8
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