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Primary 3 Mathematics Fractions Quiz

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Questions

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Primary 3 Mathematics Quiz - Fractions

Name: ________________________
Class: Primary 3 _______
Date: _______________
Score: ______ / 40

Duration: 45 minutes
Total Marks: 40

Instructions:

  1. Answer all questions.
  2. Write your answers in the spaces provided.
  3. Show your working clearly for questions in Section B and Section C.
  4. For multiple-choice questions, write the letter (A, B, C, or D) in the brackets provided.

Section A: Multiple-Choice Questions (10 × 1 mark = 10 marks)

Choose the correct answer and write its letter in the brackets provided.

  1. Which of the following fractions is equivalent to 23\frac{2}{3}?
    A) 45\frac{4}{5}
    B) 69\frac{6}{9}
    C) 811\frac{8}{11}
    D) 1013\frac{10}{13}
    [_____]

  2. What is the missing numerator? 34=?12\frac{3}{4} = \frac{?}{12}
    A) 6
    B) 7
    C) 8
    D) 9
    [_____]

  3. Which fraction is the smallest?
    A) 12\frac{1}{2}
    B) 13\frac{1}{3}
    C) 14\frac{1}{4}
    D) 15\frac{1}{5}
    [_____]

  4. Arrange the fractions from smallest to largest: 38,58,18,78\frac{3}{8}, \frac{5}{8}, \frac{1}{8}, \frac{7}{8}
    A) 18,38,58,78\frac{1}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8}
    B) 78,58,38,18\frac{7}{8}, \frac{5}{8}, \frac{3}{8}, \frac{1}{8}
    C) 38,18,58,78\frac{3}{8}, \frac{1}{8}, \frac{5}{8}, \frac{7}{8}
    D) 58,78,18,38\frac{5}{8}, \frac{7}{8}, \frac{1}{8}, \frac{3}{8}
    [_____]

  5. 27+37=\frac{2}{7} + \frac{3}{7} = _______
    A) 514\frac{5}{14}
    B) 57\frac{5}{7}
    C) 67\frac{6}{7}
    D) 614\frac{6}{14}
    [_____]

  6. 56−26=\frac{5}{6} - \frac{2}{6} = _______
    A) 36\frac{3}{6}
    B) 312\frac{3}{12}
    C) 76\frac{7}{6}
    D) 712\frac{7}{12}
    [_____]

  7. Which of the following pairs of fractions are equivalent?
    A) 25\frac{2}{5} and 415\frac{4}{15}
    B) 34\frac{3}{4} and 68\frac{6}{8}
    C) 13\frac{1}{3} and 29\frac{2}{9}
    D) 47\frac{4}{7} and 821\frac{8}{21}
    [_____]

  8. In the fraction 512\frac{5}{12}, the denominator tells us that:
    A) There are 5 equal parts altogether
    B) The whole is divided into 12 equal parts
    C) We have 12 parts out of 5
    D) The fraction is greater than 1
    [_____]

  9. What fraction of the figure is shaded?
    <image_placeholder> id: Q9-fig1 type: diagram linked_question: Q9 description: A rectangle divided into 8 equal parts, with 3 parts shaded. labels: 8 equal parts, 3 shaded parts values: Total parts = 8, Shaded parts = 3 must_show: Rectangle divided into 8 equal horizontal strips, 3 strips shaded </image_placeholder>
    A) 35\frac{3}{5}
    B) 38\frac{3}{8}
    C) 58\frac{5}{8}
    D) 53\frac{5}{3}
    [_____]

  10. Mary ate 14\frac{1}{4} of a pizza. Her brother ate 24\frac{2}{4} of the same pizza. What fraction of the pizza did they eat altogether?
    A) 38\frac{3}{8}
    B) 34\frac{3}{4}
    C) 24\frac{2}{4}
    D) 12\frac{1}{2}
    [_____]

Section B: Short-Answer Questions (10 × 2 marks = 20 marks)

Write your answers in the spaces provided. Show your working clearly.

  1. Write the fraction represented by the shaded part of the figure.
    <image_placeholder> id: Q11-fig1 type: diagram linked_question: Q11 description: A circle divided into 6 equal sectors, with 4 sectors shaded. labels: 6 equal sectors, 4 shaded sectors values: Total sectors = 6, Shaded sectors = 4 must_show: Circle divided into 6 equal pizza-slice sectors, 4 adjacent sectors shaded </image_placeholder>
    Answer: _______________ [2]

  2. Fill in the missing numerator or denominator to make equivalent fractions.
    (a) 25=?20\frac{2}{5} = \frac{?}{20}
    (b) 69=2?\frac{6}{9} = \frac{2}{?}
    Answer: (a) __________ (b) __________ [2]

  3. Compare the fractions. Write >, <, or = in the box.
    (a) 37\frac{3}{7} □\square 57\frac{5}{7}
    (b) 45\frac{4}{5} □\square 49\frac{4}{9}
    Answer: (a) __________ (b) __________ [2]

  4. Arrange the following fractions from largest to smallest.
    23,25,27,29\frac{2}{3}, \frac{2}{5}, \frac{2}{7}, \frac{2}{9}
    Answer: __________, __________, __________, __________ [2]

  5. Add the fractions. Give your answer in the simplest form.
    310+410=\frac{3}{10} + \frac{4}{10} = __________ [2]

  6. Subtract the fractions. Give your answer in the simplest form.
    78−38=\frac{7}{8} - \frac{3}{8} = __________ [2]

  7. A chocolate bar is divided into 12 equal pieces. John ate 5 pieces and Mary ate 3 pieces. What fraction of the chocolate bar was eaten? Give your answer in the simplest form.
    Answer: __________ [2]

  8. 512\frac{5}{12} of a class are boys. What fraction of the class are girls?
    Answer: __________ [2]

  9. Complete the number pattern.
    16,26,36,46,\frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4}{6}, ______, ______
    Answer: __________, __________ [2]

  10. Peter has a ribbon 710\frac{7}{10} m long. He cuts off 310\frac{3}{10} m. What is the length of the remaining ribbon? Give your answer in the simplest form.
    Answer: __________ m [2]

End of Quiz

Answers

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Primary 3 Mathematics Quiz - Fractions (Answer Key)

Total Marks: 40

Section A: Multiple-Choice Questions (10 × 1 mark = 10 marks)

QnAnswerExplanation
1BTo find an equivalent fraction, multiply both numerator and denominator by the same number. 23=2×33×3=69\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}. Option B is correct.
2DThe denominator changed from 4 to 12 (multiplied by 3). Multiply the numerator by 3: 3×3=93 \times 3 = 9. So 34=912\frac{3}{4} = \frac{9}{12}.
3DFor unit fractions (numerator = 1), the larger the denominator, the smaller the fraction. 15<14<13<12\frac{1}{5} < \frac{1}{4} < \frac{1}{3} < \frac{1}{2}.
4AAll fractions have the same denominator (8). Compare numerators: 1<3<5<71 < 3 < 5 < 7. Order: 18,38,58,78\frac{1}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8}.
5BSame denominator: add numerators. 27+37=2+37=57\frac{2}{7} + \frac{3}{7} = \frac{2+3}{7} = \frac{5}{7}.
6ASame denominator: subtract numerators. 56−26=5−26=36\frac{5}{6} - \frac{2}{6} = \frac{5-2}{6} = \frac{3}{6}. (Can be simplified to 12\frac{1}{2}, but 36\frac{3}{6} is the direct result.)
7BCheck each pair: 34=3×24×2=68\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}. This pair is equivalent. Others: 25≠415\frac{2}{5} \neq \frac{4}{15}, 13≠29\frac{1}{3} \neq \frac{2}{9}, 47≠821\frac{4}{7} \neq \frac{8}{21}.
8BThe denominator (bottom number) tells how many equal parts the whole is divided into. The numerator tells how many parts we have.
9BThe rectangle has 8 equal parts (denominator), 3 are shaded (numerator). Fraction = 38\frac{3}{8}.
10BSame denominator: add numerators. 14+24=34\frac{1}{4} + \frac{2}{4} = \frac{3}{4}.

Section B: Short-Answer Questions (10 × 2 marks = 20 marks)

QnAnswerWorking / ExplanationMarks
1146\frac{4}{6} or 23\frac{2}{3}Circle divided into 6 equal parts (denominator = 6). 4 parts shaded (numerator = 4). Fraction = 46\frac{4}{6}. Simplest form: divide by 2 → 23\frac{2}{3}. Both accepted.1m for correct fraction<br>1m for simplest form (if given)
12(a) 8<br>(b) 3(a) Denominator: 5×4=205 \times 4 = 20, so numerator: 2×4=82 \times 4 = 8.<br>(b) Numerator: 6÷3=26 \div 3 = 2, so denominator: 9÷3=39 \div 3 = 3.1m each
13(a) <<<br>(b) >>(a) Same denominator (7): compare numerators 3<53 < 5, so 37<57\frac{3}{7} < \frac{5}{7}.<br>(b) Same numerator (4): larger denominator means smaller fraction. 45>49\frac{4}{5} > \frac{4}{9}.1m each
1423,25,27,29\frac{2}{3}, \frac{2}{5}, \frac{2}{7}, \frac{2}{9}All have same numerator (2). Larger denominator = smaller fraction. Order from largest to smallest: smallest denominator to largest.2m (all correct)<br>1m (2-3 correct)
15710\frac{7}{10}310+410=710\frac{3}{10} + \frac{4}{10} = \frac{7}{10}. Already in simplest form (7 and 10 have no common factor).1m working<br>1m answer
1612\frac{1}{2}78−38=48=12\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2} (divide numerator and denominator by 4).1m subtraction<br>1m simplification
1723\frac{2}{3}Total pieces = 12. Eaten = 5 + 3 = 8 pieces. Fraction = 812=23\frac{8}{12} = \frac{2}{3} (divide by 4).1m total eaten<br>1m simplest form
18712\frac{7}{12}Whole class = 1212\frac{12}{12}. Boys = 512\frac{5}{12}. Girls = 1212−512=712\frac{12}{12} - \frac{5}{12} = \frac{7}{12}.1m concept<br>1m answer
1956,66\frac{5}{6}, \frac{6}{6} (or 1)Pattern increases by 16\frac{1}{6} each time. Next: 46+16=56\frac{4}{6} + \frac{1}{6} = \frac{5}{6}, then 56+16=66=1\frac{5}{6} + \frac{1}{6} = \frac{6}{6} = 1.1m each
2025\frac{2}{5} m710−310=410=25\frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5} m (divide by 2).1m subtraction<br>1m simplification

Marking Notes for Teachers

  • Section A: Award 1 mark per correct answer. No half marks.
  • Section B:
    • For Q11, accept 46\frac{4}{6} or 23\frac{2}{3}. If student writes 46\frac{4}{6}, award full 2 marks (simplification not required unless specified).
    • For Q16 and Q20, simplification is required for full marks as "simplest form" is stated in the question.
    • For Q14, award 1 mark if 2 or 3 fractions are in correct position.
  • Common Mistakes to Watch For
    1. Adding denominators: Students may add 27+37=514\frac{2}{7} + \frac{3}{7} = \frac{5}{14}. Remind: denominators stay the same when adding/subtracting like fractions.
    2. Not simplifying: Always check if "simplest form" is required.
    3. Comparing fractions with same numerator: Some think larger denominator = larger fraction. Use visual models to show 13>15\frac{1}{3} > \frac{1}{5}.
    4. Misreading "largest to smallest" vs "smallest to largest": Highlight key words in the question.

Total: 40 marks