SATs Fractions, Decimals & Percentages: A 2026 Practice Mini-Test (with worked solutions)

How to use this mini-test

This mini-test contains 10 questions in the style of Key Stage 2 SATs arithmetic and reasoning papers. The questions cover addition, subtraction, multiplication, ordering, and conversion of fractions, decimals, and percentages.

Suggested approach:

1. Set a timer for 15 minutes.
2. Work through each question on paper.
3. When finished, check your answers against the worked solutions below.
4. Review any questions you got wrong and note the method used.

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The questions

Question 1

Calculate: 3/5 + 1/4

Question 2

What is 7/8 as a decimal?

Question 3

Put these in order from smallest to largest: 0.45, 3/8, 40%.

Question 4

Calculate: 2 1/3 - 1 1/2

Question 5

What is 60% of 350?

Question 6

Simplify 24/36.

Question 7

Convert 0.35 to a fraction in its simplest form.

Question 8

Calculate: 2/3 × 3/4

Question 9

A recipe uses 3/4 kg of flour. Jamie wants to make 2 1/2 times the recipe. How much flour does he need?

Question 10

Which is larger: 5/12 or 3/7?

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Worked solutions

Solution 1

3/5 + 1/4

Find the common denominator: LCM of 5 and 4 is 20.

3/5 = 12/20 and 1/4 = 5/20.

12/20 + 5/20 = 17/20.

Answer: 17/20

Solution 2

7/8 as a decimal.

7 ÷ 8 = 0.875.

Answer: 0.875

Solution 3

Convert all to decimals:

• 0.45 = 0.45
• 3/8 = 0.375
• 40% = 0.4

Order: 0.375, 0.4, 0.45.

Answer: 3/8, 40%, 0.45

Solution 4

2 1/3 - 1 1/2

Convert to improper fractions: 2 1/3 = 7/3, 1 1/2 = 3/2.

Common denominator: LCM of 3 and 2 is 6.

7/3 = 14/6, 3/2 = 9/6.

14/6 - 9/6 = 5/6.

Answer: 5/6

Solution 5

60% of 350.

Method: 60/100 × 350 = 0.6 × 350 = 210.

Or: 10% of 350 = 35. So 60% = 6 × 35 = 210.

Answer: 210

Solution 6

Simplify 24/36.

Find the GCF of 24 and 36.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.

GCF = 12.

24 ÷ 12 = 2, 36 ÷ 12 = 3.

Answer: 2/3

Solution 7

Convert 0.35 to a fraction.

0.35 = 35/100.

Simplify: GCF of 35 and 100 is 5.

35 ÷ 5 = 7, 100 ÷ 5 = 20.

Answer: 7/20

Solution 8

2/3 × 3/4

Multiply numerators: 2 × 3 = 6. Multiply denominators: 3 × 4 = 12.

6/12 = 1/2.

Or cross-cancel first: the 3s cancel. 2/1 × 1/4 = 2/4 = 1/2.

Answer: 1/2

Solution 9

3/4 × 2 1/2

Convert 2 1/2 to an improper fraction: 5/2.

3/4 × 5/2 = 15/8 = 1 7/8.

Jamie needs 1 7/8 kg of flour.

Solution 10

Compare 5/12 and 3/7.

Cross-multiply: 5 × 7 = 35, 3 × 12 = 36.

Since 35 < 36, 5/12 < 3/7.

Answer: 3/7 is larger.

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How did you do?

| Score | Feedback | |-------|----------| | 9-10 | Excellent. You have a strong grasp of fraction fundamentals. | | 7-8 | Good. Review the one or two topics where you dropped marks. | | 5-6 | Fair. Focus your revision on the specific operations you struggled with. | | Below 5 | Start with the basics. Work through the individual guides on this site. |

Topics covered in this test

• Adding fractions with unlike denominators (Q1, Q4)
• Fraction to decimal conversion (Q2)
• Ordering mixed formats (Q3)
• Subtracting mixed numbers (Q4)
• Percentage of an amount (Q5)
• Simplifying fractions (Q6)
• Decimal to fraction conversion (Q7)
• Multiplying fractions (Q8)
• Fraction word problems (Q9)
• Comparing fractions (Q10)

For more help with any of these topics, browse the full conversion guide or the Worked Examples section.

FAQ

Are these the exact questions from a SATs paper? No. These are original questions written in the style of SATs arithmetic and reasoning papers. They cover the same skills and difficulty level.

What year group is this aimed at? Year 6 (ages 10-11), which is when SATs are taken. Older students can use it as a quick refresher.

Should I use a calculator? No. SATs arithmetic papers are non-calculator. Practise working these out by hand.

Where can I find more practice? This site has a full set of Worked Examples with step-by-step solutions covering a range of fraction problems.