7th grade fractions question paper

Grade 7: Fractions and Decimals

Section 1: Multiple Choice Questions (20 marks)

1. What is the simplest form of ²⁴₃₆?
   1. ³₄
   2. ²₃
   3. ⁴₆
   4. ¹₂

   Answer: (b) ²₃

2. What is the sum of ²₅ + ¹₃?
   1. ³₈
   2. ³₁₅
   3. ¹¹₁₅
   4. ¹³₁₅

   Answer: (c) ¹¹₁₅

3. What is the product of ⁴₇ × ¹⁴₈?
   1. ¹₂
   2. 1
   3. 2
   4. ¹⁶₄₉

   Answer: (b) 1

4. What is the value of 1.8 × 0.5?
   1. 9.0
   2. 0.9
   3. 0.09
   4. 2.3

   Answer: (b) 0.9

5. What is the quotient of 12.6 ÷ 3?
   1. 4.2
   2. 42
   3. 0.42
   4. 9.6

   Answer: (a) 4.2

6. Convert ⁹₂₅ to a decimal.
   1. 0.36
   2. 0.9
   3. 0.09
   4. 2.78

   Answer: (a) 0.36

7. Convert 0.85 to a fraction in its simplest form.
   1. ⁸⁵₁₀₀
   2. ¹⁷₂₀
   3. ⁸₁₀
   4. ⁴₅

   Answer: (b) ¹⁷₂₀

8. What is the value of 2 ¹₄ × 4?
   1. 6 ¹₄
   2. 9
   3. 8 ¹₄
   4. 8

   Answer: (b) 9

9. What is the value of 3 - ²₇?
   1. ¹⁹₇
   2. ¹⁷₇
   3. ¹₇
   4. ²³₇

   Answer: (a) ¹⁹₇

10. What is the value of 2.65 + 0.35?
    1. 3.05
    2. 2.0
    3. 3
    4. 2.3

    Answer: (c) 3

Section 2: Short Answer Questions (6 marks)

1. Calculate: ⁵₁₂ × ⁴₁₀

   Answer: ¹₆

2. Calculate: ¹₄ + ²₃

   Answer: ¹¹₁₂

3. Calculate: 6.4 ÷ 0.8

   Answer: 8

Section 3: Long Answer Questions (9 marks)

1. A container holds 8 ¹₂ liters of juice. Glasses with a capacity of ¹₄ liter are filled from the container. How many glasses can be filled?

   Answer: 34 glasses

2. John bought 3.25 kg of apples and Mary bought 2.50 kg of apples. What is the total weight of the apples they bought? How much more did John buy than Mary?

   Answer: Total weight: 5.75 kg, Difference: 0.75 kg