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Mental Arithmetic 4 (by Schofield & Sims) - Solution to Section 1 | Test 1A

August 02, 2025

Here is a detailed solutions to Mental Arithmetic 4 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.

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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: Write in words the number shown on the abacus.

 

Six thousand and thirteen

 

Question 2: 

\(17+8+16\) 

 41

Question 3: \(9653 - 601 =\)

9052.

Question 4: \((8 \times 7) + 5 =\)

61.

Question 5: \((56 - 8) \div 8 = \)

6.

Question 6: \(\frac{7}{10} \: of \: 100 \: g = \)

\(\frac{7}{10} \times 100g \)
\( = \frac{7\times 100}{10} g \)
\( = \frac{700}{10} g \)
\( = 70 g\)
Answer = 70 g

Question 7: \(1\frac{3}{4} \: h=\_\_\_ \: min\)

\( = \frac{7}{4} \: hours\)
\( = \frac{7}{4} \times 60 \: minutes \)
\( = \frac{420}{4} \: minutes \)
\( = 105 \: minutes \)
Answer = 105 minutes

Question 8: \(£1.45=\_\_ \: 5ps\)

Since \( £1 = 100p \)
\( £1.45 \: pounds = 1.45 \times 100 = 145 \: pence \)
Divide by the value of a 5p coin
\(145 \div 5 = 29 \)
Answer = 29

Question 9: \(4km \: 350m = \_\_ \: m \)

Since 1 km = 1000 m
\( 4km = 4 \times 1000m = 4000 m \)
\( 4000 m + 350 m = 4350 m \)
Answer = 4350 m

Question 10: \(850g + \_\_ \: g = 1 \frac{1}{2} \: kg\)

\( 850g + \_\_ g = \frac{3}{2} \: kg \)
Since 1kg = 1000g
\( \frac{3}{2} \: kg = \frac{3}{2} \times 1000 \: g = \frac{3000}{2} \: g = 1500 \: g \)
Subtract 850g from 1500g
\( 1500g - 850g = 650g \)
Answer = 650g

Question 11: \( £7.09 = \_\_ \: p \)

Since \( £1 = 100p \)
\( £7.09 = 7.09 \times 100 = 709 \: pence \)
Answer = 709

Question 12: \(\_\_ \: 10ps + six \: 2ps = £1.82\)

Convert everything to pence
£1.82 = 182p \( Six \: 2p \: coins = 6 \times 2 = 12p \)
Let the number of 10p coins be \( x \)
\( 10x + 12 = 182 \)
\( 10x = 182 - 12 \)
\( 10x = 170 \)
\( x = \frac{10}{10} = 17 \)
Answer = 17
  
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