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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 1A

August 03, 2025


Here is a detailed solutions to Mental Arithmetic 6 by Schofield & Sims, focusing on Section 1 | Test 1A. 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: \( 154 + 67 = \)

Answer = 221

Question 2: \( (2 \times 45) + (1 \times 45) = \)

\( (2 \times 45) + (1 \times 45) = \)
\( 90 + 45 = 135 \)
Answer = 135

Question 3: Write in digits the number one thousand one hundred and one

Answer = 1101

Question 4: 33% is larger than \( \frac{1}{3} \). True or False?

Convert 33% to a decimal
33% \( = \frac{33}{100} = 0.33 \)
Convert \( \frac{1}{3} \) to decimal
\( \frac{1}{3} = 0.3333... = 0.\overset{-}{3} \)
\( \frac{1}{3} \) is a recurring decimal which is slightly greater than 33%
33% \( < \frac{1}{3} \)
Answer = False

Question 5: Write as a decimal \( 5 + \frac{5}{100} \)

Convert the fraction to decimal
\( \frac{5}{100} = 0.05 \)
Add to 5
\( 5 + 0.05 = 5.05 \)
Answer = 5.05

Question 6: \(1.59 + 0.73 = \)

Answer = 2.32

Question 7: \(1.5 \times (1.5 + 2.5) = \)

\( 1.5 \times (1.5 + 2.5) = 1.5 \times 4.0 = 6.0 \)
Answer = 6

Question 8: Approximate 7846 to the nearest thousand.

Answer = 8000

Question 9:
a. Calculate exactly, then
b. approximate to 1 decimal place
\( \:\:\:\:\:\:\:\:\:\:\:8.64 \div 4 \)

a. Calculate exactly:
\( 8.64 \div 4 = \frac{8.64}{4} = 2.16 \)
b. Approximate to 1 decimal place
To round 2.16 to 1 decimal place:
Look at the second decimal digit (6).
Since 6 is 5 or more, we round up.
\( 2.16 \approx 2.2 \)
Answer =
a. 2.16
b. 2.2

Question 10: If a = 2, find the value of 3a.

Given: \( a = 2 \)
Expression: \( 3a \)
Substitute the value of a
\( 3 \times a = 3 \times 2 = 6 \)
Answer = 6

Question 11: 4m \( = \) 10
so m \( = \)

4m \( = \) 10
Divide both sides by 4
\( \frac{4m}{4} = \frac{10}{4} \)
m \( = \) 2.5
Answer = 2.5

Question 12: \( 6^2 = \)

\( 6^2 = 6 \times 6 = 36 \)
Answer = 36
Return to Book Page | Section 1 Test 1B | Section 1 Test 1C

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