Worksheets · Foundation and Higher

Decimals, fractions and percentages

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Non-calculator · 2 marks
(a) Work out 7/8 of 64. (2)
Question 2Non-calculator · 2 marks
(a) Write 7/16 as a decimal. (2)
Question 3Non-calculator · 5 marks
At a school, $\frac{3}{8}$ of the students walk to school and $45\%$ take the bus. The remaining $70$ students cycle.
(a) Work out the number of students at the school. (3)
(b) $\frac{2}{5}$ of the students who take the bus are in Year 11. What percentage of all the students at the school are Year 11 students who take the bus? (2)

Answers and marks

(a) $56$

(a) $0.4375$

(a) $400$

P1 Converting to one form and adding: $0.375 + 0.45 = 0.825$ (or $82.5\%$ , or $\frac{33}{40}$ ).
P1 Finding the cyclists' share, $0.175$ (or $17.5\%$ or $\frac{7}{40}$ ).
A1 The correct answer, $400$ .

(b) $18\%$

M1 Writing $\frac{2}{5} \times 45\%$ or $0.4 \times 0.45$ , or $\frac{72}{400}$ .
A1 The correct answer, $18\%$ .

Decimals, fractions and percentages

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