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BSA Maths Fractions, Percentages and Decimals Diagnostic Tool

Total questions: 25

Worksheet time: 19mins

Name
Class
Date
1.
Convert ¼ to a percentage and a decimal
a)
25%, 0.2
b)
25%, 0.205
c)
25%, 0.25
d)
Don't know
2.
Convert ⅛ to a percentage and a decimal.
a)
12.5%, 0.125
b)
12.5%, 1.25
c)
12.5%, 0.0125
d)
Don't know
3.

What is 0.3 as a simplified fraction? ​ (a)  

Choose from the below words
3/10
1/3
33/100
4.
Convert 48% to the most simplified fraction and a decimal.
a)
48/100, 0.48
b)
12/50, 0.12
c)
12/25, 0.48
d)
Don't know
5.
Convert 80% to the most simplified fraction and a decimal.
a)
4/5 and 0.8
b)
4/5 and 0.08
c)
4/5 and 0.45
d)
Don't know
6.
Convert 0.45 to the most simplified fraction and a percentage.
a)
45/100, 45%
b)
9/10, 45%
c)
9/20, 45%
d)
Don't know
7.

Match the following decimals and percentages

a)

0.3

1.

30%

b)

0.15

2.

15

c)

0.015

3.

1.5%

d)

1.5

4.

150%

e)

0.03

5.

3%

8.
Which is the largest number? ⅖, 45%, 0.44
a)
b)
45%
c)
0.44
d)
Don't know
9.
Which is the smallest number? ½, 49%, 0.51
a)
½
b)
49%
c)
0.51
d)
Don't know
10.
Put these numbers in ascending order (smallest to largest) ⅗, ⅓, 0.34, 30%
a)
⅗, 0.34, ⅓, 30%
b)
⅓, 30%, 0.34, ⅗
c)
30%, ⅓, 0.34, ⅗
d)
Don't know
11.
Put these numbers in descending order (largest to smallest) ⅗, ¾, , 70%, 0.76, 0.85
a)
70%, ¾, 0.76, ⅗, 0.85
b)
0.85, ⅗, 0.76, ¾, 70%
c)

0.85, 0.76, ¾, 70%, ⅗

d)
Don't know
12.
⅕ + ⅗ = ⅘ Write the fractions as percentages to make a new addition.
a)
25% + 60% = 85%
b)
20% + 75% = 95%
c)
20% + 60% = 80%
d)
Don't know
13.
⅕ + ⅗ = ⅘ Write the fractions as decimals to make a new addition.
a)
0.2 + 0.6 = 0.8
b)
0.2 + 0.6 = 8.0
c)
0.2 + 0.6 = 80%
d)
Don't know
14.
What decimal must be added to the new addition in the question above to make 3?
a)
1.2
b)
2.2
c)
1.8
d)
Don't know
15.
A doctor earns $60,000 and must pay 30% tax on everything she earns over $20,000. How much tax does she pay?
a)
30% of $60,000
b)
30% of $40,000
c)
30% of $20,000
d)
Don't know
16.

A doctor earns $60,000 and must pay 30% tax on everything she earns over $20,000. How much tax does she pay? Work out the amount. You can just write the amount without the $ symbol (unless you can find the symbol, then write it)

(a)  

17.
When buying an item on a credit card, interest has to be paid to the bank. Say 4% is paid on the value of the item (𝑛) Where 𝑛 is the price of the item. How is this represented as an algebraic expression?
a)
0.4𝑛
b)
0.04𝑛
c)
𝑛 + 0.4
d)
Don't know
18.

When buying an item on a credit card, interest has to be paid to the bank. Say 14% is paid on the value of the item (𝑛) Where 𝑛 is the price of the item. How is this represented as an algebraic expression? (a)  

Choose from the below words
0.14𝑛
𝑛 + 0.14
Don't know
19.

When buying an item on a credit card, interest has to be paid to the bank. Say 4% is paid on the value of the item (𝑛) Where 𝑛 is the price of the item. How much has to be paid in interest is the cost of the item is 450€? Just write the amount and not the € symbol (unless you can find the symbol, then write it)

(a)  

20.
Work out 35% of 1.2litres
a)
0.42L
b)
4.2L
c)
42L
d)
Don't know
21.
Work out 45% of 1.4litres
a)
0.63ml
b)
6.3L
c)
630ml
d)
Don't know
22.

A Coca Cola can is typically made of 75% aluminium and 25% steel. It has a mass of 15g when empty. How many grams of aluminium are in a coke can?

(a)  

23.

Reorder the following from largest to smallest

a)

3/8

b)

50%

c)

0.4

d)

0.05

e)

1/25

1)
2)
3)
4)
5)
24.

My friend orders a pizza. He eats 1/4 and my brother eats 12.5% of it. How much is left as a fraction. ​ (a)  

Choose from the below words
5/8
4/8
1/3
25.

My friend orders a pizza. He eats 1/4 and my brother eats 12.5% of it. How much is left as a decimal. ​ (a)  

Choose from the below words
0.6
0.375
0.625