Worksheets · Foundation

Foundation numerical fluency clinic

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

Question 1Non-calculator · 3 marks
Do not use a calculator.
(a) Work out $2\frac{3}{4} + 1\frac{5}{6}$ . Give your answer as a mixed number. (3)
Question 2Non-calculator · 4 marks
A number $x$ satisfies $(13x-6)\div3=20$ .
(a) Find x. (3)
(b) Explain why subtracting 6 first is not the correct inverse route. (1)
Question 3Non-calculator · 3 marks
A baker has $5\frac{1}{2}$ kg of flour. Each loaf needs $\frac{3}{4}$ kg of flour.
(a) Work out the greatest number of loaves the baker can make, and the mass of flour left over. You must show your working. (3)

Answers and marks

(a) $4\frac{7}{12}$

M1 Writing the fractions over a common denominator, $\frac{9}{12} + \frac{10}{12}$ (or both as improper fractions $\frac{33}{12} + \frac{22}{12}$ ).
M1 Reaching $\frac{19}{12}$ or $\frac{55}{12}$ .
A1 $4\frac{7}{12}$ .

(a) $\frac{66}{13}$

(b) The outermost operation is division by 3, so it must be undone before the earlier subtraction.

C1 Correct conclusion with supporting reasoning: The outermost operation is division by 3, so it must be undone before the earlier subtraction.

(a) 7 loaves, with $\frac{1}{4}$ kg left over

P1 Dividing $5\frac{1}{2}$ by $\frac{3}{4}$ (or repeatedly subtracting $\frac{3}{4}$ ).
P1 Deciding 7 whole loaves can be made.
A1 $\frac{1}{4}$ kg left over (with 7 loaves).

Foundation numerical fluency clinic

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