Write these values in order of size, starting with the smallest: 0.3, 7/20, 32%, 0.29
(2)
6
Work out 2/5 + 1/4, giving your answer as a fraction in its simplest form.
(2)
7
Work out 7/8 - 1/3, giving your answer as a fraction in its simplest form.
(2)
8
Work out 3/5 x 2/9, giving your answer as a fraction in its simplest form.
(2)
9
Work out 5/6 divide by 1/4, giving your answer as a mixed number.
(2)
10
Calculate 24% of 150.
(2)
11
Calculate 35% of 220.
(2)
12
Write 5/8 as a decimal.
(1)
13
Write 0.08 as a fraction in its simplest form.
(1)
14
A jug holds 3/4 of a litre. Kayleigh pours out 1/6 of a litre. Calculate how much liquid remains in the jug, giving your answer as a fraction in its simplest form.
(2)
15
A coat has a normal price of 84 pounds. In a sale it is reduced by 25%. Calculate the sale price of the coat.
(3)
16
Aidan's weekly pay increases from 320 pounds to 368 pounds. Calculate the percentage increase in his pay.
(3)
17
A phone is reduced by 20% in a sale. The sale price is 152 pounds. Calculate the original price of the phone.
(3)
18
A school has 900 students. 2/3 of the students are in Key Stage 3. 1/5 of the Key Stage 3 students play a musical instrument. Calculate the number of Key Stage 3 students who play a musical instrument.
(3)
19
Show that 0.7 recurring (0.7777...) is equal to 7/9.
(3)
20
A price of 200 pounds is increased by 10%, and then the new price is decreased by 10%. Calculate the final price after both changes.
(3)
Mark scheme · KS3.M-N2D Number: Fractions, Decimals, Percentages: Fluency and Exam Drill
Question 1
B1 0.375 cao
Answer: 0.375
Question 2
B1 65% cao
Answer: 65%
Question 3
B1 45% cao
Answer: 45%
Question 4
B1 2/3 cao
Answer: 2/3
Question 5
M1 all four values correctly written as decimals: 0.3, 0.35, 0.32, 0.29 oe
A1 correct order cao
Answer: 0.29, 0.3, 32%, 7/20
Question 6
M1 common denominator of 20 used: 8/20 + 5/20 oe
A1 13/20 cao
Answer: 13/20
Question 7
M1 common denominator of 24 used: 21/24 - 8/24 oe
A1 13/24 cao
Answer: 13/24
Question 8
M1 (3 x 2)/(5 x 9) = 6/45 oe
A1 2/15 cao
Answer: 2/15
Question 9
M1 5/6 x 4/1 oe (keep, change, flip shown)
A1 3 1/3 oe 10/3 cao
Answer: 3 1/3 (10/3)
Question 10
M1 150 x 0.24 oe
A1 36 cao
Answer: 36
Question 11
M1 220 x 0.35 oe
A1 77 cao
Answer: 77
Question 12
B1 0.625 cao
Answer: 0.625
Question 13
B1 2/25 cao
Answer: 2/25
Question 14
M1 common denominator of 12 used: 9/12 - 2/12 oe
A1 7/12 cao
Answer: 7/12
Question 15
M1 25% of 84 = 21 oe, or multiplier 0.75 identified
M1 84 - 21 oe, or 84 x 0.75
A1 63 (pounds) cao
Answer: 63 pounds
Question 16
M1 increase = 368 - 320 = 48 oe
M1 48/320 (x 100) oe
A1 15% cao
Answer: 15%
Question 17
M1 recognises sale price = 80% of original, e.g. 0.8 x P = 152 oe
M1 P = 152/0.8
A1 190 (pounds) cao
Answer: 190 pounds
Question 18
M1 2/3 x 900 = 600 oe (number of Key Stage 3 students)
M1 1/5 x 600 oe
A1 120 cao
Answer: 120 students
Question 19
M1 sets x = 0.7777... and forms 10x = 7.7777... oe
M1 subtracts to get 9x = 7 oe
A1 x = 7/9 cso (answer given, full method required)