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Mental Arithmetic 6 (by Schofield & Sims) - Solution
Mental Arithmetic by Schofield & Sims

Mental Arithmetic 6 (by Schofield & Sims) - Solution to Section 1 | Test 1B

August 03, 2025


Here is a detailed solutions to Mental Arithmetic 6 by Schofield & Sims, focusing on Section 1 | Test 1B. It is intended to support learners, educators, and parents by offering clear, step-by-step explanations for each question. The aim is to reinforce mental calculation strategies and help students assess their understanding through accurate and guided reasoning.

⚠️ Disclaimer

This material, as provided by Ugwoke Charles, is not officially affiliated with or endorsed by Schofield & Sims. All questions, formats, and content referenced remain the intellectual property of their respective copyright holders. These solutions are offered strictly for educational and revision purposes. Readers are strongly encouraged to support the publisher by purchasing the original workbook.

 Solutions

Question 1: \(86 \)p \( + 35 \)p \( + 71\)p \( = \)

\(86 \)p \( + 35 \)p \( + 71\)p \( = 192\)p
£1 \( = \) 100p
191p \( = £\frac{192}{100 = £1.92\)
Answer = £1.92

Question 2: Find 1% of £5.

£1 \( = \) 100p £5 \( = 5 \times 100 \)p \( = \) 500p
1% of 500p \( = \frac{1}{100} \times 500\)p
\( = £\frac{500}{100} \)p
\( = 5 \)p
Answer = 5p

Question 3: Change 317mm to centimetres.

10mm \( = \) 1cm
317mm \( = \frac{317}{10}\)cm
\( = 31.7\)cm
Answer = 31.7cm

Question 4: \(510 \)mm \( + 855\)mm \( = \)

\(510 \)mm \( + 855\)mm \( = 1365\)mm
1000mm \( = \) 1m
1365mm \( = \frac{1365}{1000} \)m \( = \)1.365mm
Answer:
\( = \)1m 325mm
\( = \) 1.325m

Question 5: 90 days \( = \)

7 days \( = \) 1 week
90 days \( = \frac{90}{7} = \) 12 weeks and 6 days
Answer: 12 weeks and 6 days

Question 6: An aeroplane flies 3900km in 6 hours. What is the mean (average) speed?

To find the mean (average) speed, you use the formula:
\(Speed = \frac{Distance}{Time} \)
Where:
Distance = 3900km
Time = 6 hours
Substituting into the formula:
\( Speed = \frac{3900km}{6h} =\) 650km/h
\( \therefore \) The mean (average) speed is 650 km/h
Answer: 650 km/h

Question 7: Find the perimeter of a rectangular field measuring 35m by 22m.

Perimeter of a rectangle \( = 2( \) Length \( + \) Width \( ) \)
Length \( = \) 35m
Width \ = \) 22m
Substituting into the formula:
Perimeter of the rectangle \( = 2(35 + 22) \)m
\( = 2(57) \)m
\(= 114 \)m
Answer: 114m

Question 8: What size is the interior angle in each corner of an equilateral triangle?

An equilateral triangle has all sides equal.
Some of angles in a triangle is \( 180^o \)
If one angle of the equilateral triangle is \( x \), the other two sides will also be \( x \)
\( x + x + x = 180^o \)
\( 3x = 180^o \)
\( x = \frac{180^o}{3} \)
\( x = 60^o \)
\( \therefore \) the size of the interior angle in each corner of an equilateral triangle is \( 60^o \)
Answer: \( 60^o \)

Question 9: Which letter of the word WAIST have at least one axis of symmetry?

A letter has an axis of symmetry if you can fold it along a line (either vertical, horizontal, or diagonal) and both halves match perfectly.
The letters in WAIST:
W – Has vertical symmetry ✅
A – Has vertical symmetry ✅
I – Has vertical and horizontal symmetry ✅
S – No symmetry ❌
T – Has vertical symmetry ✅
W, A, I, and T have at least one axis of symmetry. Only S does not.
Answer: WAIT

Question 10: Approximate £13.63 to the nearest £1.

In £13.63, the number after the decimal is 6 (i.e., £13.6).
Apply rounding rules:
If the digit is 5 or more, round up.
If the digit is 4 or less, round down.
Since \( 6 \ge 5 \), we round up.
£14 is the approximation of £13.63 to the nearest pound.
Answer: £14
Return to Book Page | Section 1 Test 1A | Section 1 Test 1C

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