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ID: 12261
Type: 1
Question: Complete the following equation.<br>1 - \(\dfrac{2}{6}\) = 
Answers: ['\\(\\dfrac{4}{6}\\)', '\\(\\dfrac{2}{6}\\)', '\\(\\dfrac{5}{6}\\)', '\\(\\dfrac{3}{6}\\)']
Correct index: 0
Solution: 1 whole is 6/6.<br>6/6 - 2/6 = 4/6.<br>The answer is 4/6.

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ID: 12277
Type: 1
Question: Compare and order the lengths of the objects.<br>Arrange the objects in order of their lengths.<br>Begin with the longest.
Answers: ['Spoon, pencil, computer mouse', 'Pencil, spoon, computer mouse', 'Computer mouse, pencil, spoon', 'Pencil, computer mouse, spoon']
Correct index: 0
Solution: Measured against the ruler: spoon is longest, then pencil, then computer mouse.

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ID: 12310
Type: 1
Question: Which of the following has the largest value?
Answers: ['36 ÷ 6', '56 ÷ 7', '48 ÷ 8', '63 ÷ 9']
Correct index: 1
Solution: 36÷6=6, 56÷7=8, 48÷8=6, 63÷9=7.<br>The largest value is 8 (56÷7).

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ID: 12311
Type: 1
Question: Which fraction is equivalent to \(\dfrac{5}{25}\)?
Answers: ['\\(\\dfrac{1}{2}\\)', '\\(\\dfrac{2}{5}\\)', '\\(\\dfrac{3}{15}\\)', '\\(\\dfrac{4}{30}\\)']
Correct index: 2
Solution: 5/25 = 1/5.<br>Check options: 3/15 = 1/5.<br>So 3/15 is equivalent.

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ID: 12312
Type: 1
Question: Find the total number of perpendicular lines in all the letters K, W, L, Y.
Answers: ['1', '2', '3', '4']
Correct index: 2
Solution: Only letter L has a clear pair of perpendicular lines (right angle).

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ID: 12314
Type: 1
Question: Arrange the following fractions from the smallest to the greatest. \(\dfrac{3}{4}\), \(\dfrac{2}{3}\), \(\dfrac{5}{12}\)
Answers: ['\\(\\dfrac{2}{3}\\), \\(\\dfrac{3}{4}\\), \\(\\dfrac{5}{12}\\)', '\\(\\dfrac{2}{3}\\), \\(\\dfrac{5}{12}\\), \\(\\dfrac{3}{4}\\)', '\\(\\dfrac{5}{12}\\), \\(\\dfrac{2}{3}\\), \\(\\dfrac{3}{4}\\)', '\\(\\dfrac{5}{12}\\), \\(\\dfrac{3}{4}\\), \\(\\dfrac{2}{3}\\)']
Correct index: 2
Solution: Common denominator 12: 3/4=9/12, 2/3=8/12, 5/12=5/12.<br>Smallest to greatest: 5/12, 8/12, 9/12 = 5/12, 2/3, 3/4.

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ID: 12317
Type: 1
Question: Look at the figures.<br>Which of the following statements is true?
Answers: ['The area of Figure A is greater than Figure B.', 'Figure A and Figure C have the same area.', 'Figure A and Figure B have the same perimeter.', 'Figure C has the greatest perimeter.']
Correct index: 2
Solution: On the 1 cm grid, Figures A and B have the same perimeter.

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ID: 12319
Type: 1
Question: Arun ran 375 m up a hill and ran the same distance down the hill.<br>He then ran 430 m before reaching the campsite.<br>How far did he run altogether?
Answers: ['805 m', '1 km 180 m', '1 km 235 m', '1 km 610 m']
Correct index: 1
Solution: 375 + 375 + 430 = 1180 m = 1 km 180 m.

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ID: 12324
Type: 1
Question: The mass of a durian is 1080 g.<br>The cubes on both sides of the pan are of equal mass.<br>What is the mass of each cube?
Answers: ['216 g', '270 g', '360 g', '540 g']
Correct index: 2
Solution: Left pan has 3 cubes; right pan has durian (1080 g) plus 1 cube and balances.<br>So 3 cubes = 1080 g + 1 cube, 2 cubes = 1080 g...

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ID: 12328
Type: 1
Question: Find the value of \(\dfrac{7}{12}\) + \(\dfrac{1}{6}\).
Answers: ['\\(\\dfrac{3}{4}\\)', '\\(\\dfrac{8}{18}\\)', '\\(\\dfrac{5}{12}\\)', '\\(\\dfrac{8}{12}\\)']
Correct index: 0
Solution: 1/6 = 2/12.<br>7/12 + 2/12 = 9/12.

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ID: 12330
Type: 1
Question: Find the value in the box. \(\dfrac{2}{3}\) − \(\dfrac{1}{9}\) = 1 −
Answers: ['\\(\\dfrac{4}{9}\\)', '\\(\\dfrac{5}{9}\\)', '\\(\\dfrac{3}{9}\\)', '\\(\\dfrac{4}{10}\\)']
Correct index: 0
Solution: 2/3 − 1/9 = 6/9 − 1/9 = 5/9.<br>So 1 − box = 5/9, box = 1 − 5/9 = 4/9.

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ID: 12331
Type: 1
Question: Which two of the following fractions are greater than \(\dfrac{1}{2}\)? \(\dfrac{5}{8}\), \(\dfrac{4}{9}\), \(\dfrac{3}{6}\), \(\dfrac{6}{11}\).  and
Answers: ['\\(\\dfrac{5}{8}\\), \\(\\dfrac{6}{11}\\)', '\\(\\dfrac{3}{4}\\), \\(\\dfrac{6}{11}\\)', '\\(\\dfrac{5}{8}\\), \\(\\dfrac{7}{11}\\)', '\\(\\dfrac{1}{2}\\), \\(\\dfrac{6}{11}\\)']
Correct index: 0
Solution: Compare each to 1/2: 5/8 > 1/2, 4/9 < 1/2, 3/6 = 1/2, 6/11 > 1/2.<br>The two greater than 1/2 are 5/8 and 6/11.

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ID: 12342
Type: 2
Question: Mr Lim had a rectangular piece of paper measuring 8 cm by 12 cm.<br>He cut out a square of side 3 cm on the rectangular piece of paper.<br>Find the perimeter of the remaining piece of paper after Mr Lim had cut out the square.<br><input type="number" id="input_0" class="lineinput" placeholder="?" /> cm
Answers: ['46', None, None, None]
Correct index: None
Solution: The cut is on an edge, so the perimeter increases by 2 sides of the square: rectangle perimeter = 2×(8+12)=40; + 2×3 = 46 cm.

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ID: 12352
Type: 1
Question: Divide 739 by 7.<br>What is the remainder?
Answers: ['1', '2', '5', '4']
Correct index: 3
Solution: 739 / 7 = 105 remainder 4, since 105 x 7 = 735 and 739 - 735 = 4.

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ID: 12358
Type: 1
Question: Find the difference between \(\dfrac{2}{3}\) and \(\dfrac{1}{9}\).
Answers: ['\\(\\dfrac{1}{6}\\)', '\\(\\dfrac{5}{9}\\)', '\\(\\dfrac{7}{9}\\)', '\\(\\dfrac{3}{12}\\)']
Correct index: 1
Solution: 2/3 = 6/9.<br>6/9 - 1/9 = 5/9.

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ID: 12361
Type: 1
Question: Which of the following fractions is smaller than \(\dfrac{1}{2}\)? \(\dfrac{4}{8}\), \(\dfrac{3}{7}\), \(\dfrac{5}{9}\), \(\dfrac{6}{11}\)
Answers: ['\\(\\dfrac{5}{9}\\)', '\\(\\dfrac{6}{11}\\)', '\\(\\dfrac{3}{7}\\)', '\\(\\dfrac{4}{8}\\)']
Correct index: 2
Solution: A fraction is smaller than 1/2 when the numerator is less than half the denominator.<br>3/7: half of 7 is 3.5, and 3 < 3.5, so 3/7 < 1/2.<br>The others equal or exceed 1/2.

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ID: 12364
Type: 2
Question: What is seven thousand, one hundred and seven in numerals? <input type="number" id="input_0" class="lineinput" placeholder="?" />
Answers: ['7107', None, None, None]
Correct index: None
Solution: Seven thousand = 7000, one hundred = 100, seven = 7.<br>7000 + 100 + 7 = 7107.

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ID: 12367
Type: 1
Question: Express \(\dfrac{6}{10}\) in its simplest form.
Answers: ['\\(\\dfrac{3}{5}\\)', '\\(\\dfrac{4}{5}\\)', '\\(\\dfrac{2}{5}\\)', '1']
Correct index: 0
Solution: Divide numerator and denominator by their common factor 2: 6/10 = 3/5.

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ID: 12372
Type: 1
Question: The number line is marked at equal intervals. What is the missing fraction indicated by the arrow on the number line?
Answers: ['\\(\\dfrac{5}{8}\\)', '\\(\\dfrac{3}{4}\\)', '\\(\\dfrac{4}{8}\\)', '\\(\\dfrac{3}{8}\\)']
Correct index: 0
Solution: The number line from 0 to 1 is divided into 8 equal intervals.<br>The arrow is at the 5th mark, giving 5/8.

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ID: 12373
Type: 1
Question: \(\dfrac{1}{12}\) + \(\dfrac{3}{4}\)
Answers: ['\\(\\dfrac{5}{6}\\)', '1', '\\(\\dfrac{4}{6}\\)', '\\(\\dfrac{1}{6}\\)']
Correct index: 0
Solution: 3/4 = 9/12.<br>1/12 + 9/12 = 10/12.

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ID: 12386
Type: 2
Question: Black and white counters are arranged to form a pattern.<br>The table shows the number of black and white counters used for each figure: Figure 1 (3 white, 1 black, 4 total), Figure 2 (3 white, 4 black, 7 total), Figure 3 (6 white, 4 black, 10 total), Figure 4 (white, black, 13 total).<br>Find the number of white counters for Figure 4.<br><input type="number" id="input_0" class="lineinput" placeholder="?" /> Find the number of black counters for Figure 4.<br><input type="number" id="input_1" class="lineinput" placeholder="?" /> Find the total number of counters for Figure 10.<br><input type="number" id="input_2" class="lineinput" placeholder="?" />
Answers: ['6', '7', '31', None]
Correct index: None
Solution: Total counters increase by 3 each figure (4, 7, 10, 13, ...), so Figure n total = 3 x n + 1.<br>(a) Figure 4 has 6 white counters.<br>(b) black counters = 13 - 6 = 7.<br>(c) Figure 10 total = 3 x 10 + 1 = 31.

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ID: 12403
Type: 1
Question: The figure is made up of identical squares.<br>What fraction of the figure is shaded?
Answers: ['\\(\\dfrac{1}{2}\\)', '\\(\\dfrac{1}{3}\\)', '\\(\\dfrac{3}{5}\\)', '\\(\\dfrac{3}{8}\\)']
Correct index: 1
Solution: The figure is a 3×2 arrangement of 6 identical squares.<br>Shaded parts total: 1 half + 1 whole + 1 half = 2 whole squares out of 6, which is 2/6 = 1/3.

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ID: 12413
Type: 1
Question: Find the value of \(\dfrac{1}{5}\) + \(\dfrac{3}{10}\) . Give your answer in its simplest form.
Answers: ['\\(\\dfrac{1}{2}\\)', '\\(\\dfrac{4}{15}\\)', '\\(\\dfrac{1}{10}\\)', '\\(\\dfrac{4}{10}\\)']
Correct index: 0
Solution: 1/5 = 2/10, so 2/10 + 3/10 = 5/10 = 1/2.

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ID: 12417
Type: 1
Question: (a) Express \(\dfrac{8}{12}\) in its simplest form.
(b) Give an equivalent fraction of \(\dfrac{4}{9}\) .
(a)  (b)
Answers: ['\\(\\dfrac{2}{3}\\), \\(\\dfrac{8}{18}\\)', '1, \\(\\dfrac{8}{18}\\)', '\\(\\dfrac{2}{3}\\), \\(\\dfrac{5}{9}\\)', '\\(\\dfrac{2}{5}\\), \\(\\dfrac{8}{18}\\)']
Correct index: 0
Solution: (a) 8/12 = (8÷4)/(12÷4) = 2/3.<br>(b) An equivalent fraction of 4/9 is 8/18 (multiply numerator and denominator by 2).

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ID: 12426
Type: 1
Question: Arrange the following fractions from the smallest to the largest.
\(\dfrac{5}{9}\) , \(\dfrac{1}{3}\) , \(\dfrac{5}{6}\)
Answers: ['\\(\\dfrac{1}{3}\\), \\(\\dfrac{5}{9}\\), \\(\\dfrac{5}{6}\\)', '\\(\\dfrac{5}{6}\\), \\(\\dfrac{5}{9}\\), \\(\\dfrac{1}{3}\\)', '\\(\\dfrac{5}{9}\\), \\(\\dfrac{1}{3}\\), \\(\\dfrac{5}{6}\\)', '\\(\\dfrac{1}{3}\\), \\(\\dfrac{5}{6}\\), \\(\\dfrac{5}{9}\\)']
Correct index: 0
Solution: Using common denominator 18: 1/3 = 6/18, 5/9 = 10/18, 5/6 = 15/18.<br>Smallest to largest: 1/3, 5/9, 5/6.

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ID: 12427
Type: 2
Question: \(\dfrac{11}{12}\) − [ ? ]/3 = \(\dfrac{1}{4}\)
What is the missing number in the box?
[?]
Answers: ['2', None, None, None]
Correct index: None
Solution: 11/12 − 1/4 = 11/12 − 3/12 = 8/12 = 2/3.<br>So box/3 = 2/3, meaning the box is 2.

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ID: 12434
Type: 2
Question: The table shows the amount of time Mei spent on her homework last Saturday.
English 10 minutes, Mathematics 25 minutes, Science 15 minutes, Mother Tongue 30 minutes
(a) Mei finished her Mathematics and Science homework at 9.30 a.m.<br>At what time did she start doing her Mathematics and Science homework?
(b) How much time did she take in total to complete her English, Mathematics and Mother Tongue homework? Express your answer in hour(s) and minute(s).
(a) <input type="number" id="input_0" class="lineinput" placeholder="?" /> a.m. (b) <input type="number" id="input_1" class="lineinput" placeholder="?" /> h <input type="number" id="input_2" class="lineinput" placeholder="?" /> min
Answers: ['8.50', '1', '5', None]
Correct index: None
Solution: (a) Maths + Science = 25 + 15 = 40 min.<br>9.30 a.m.<br>minus 40 min = 8.50 a.m.<br>(b) English + Maths + Mother Tongue = 10 + 25 + 30 = 65 min = 1 h 5 min.

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ID: 12450
Type: 2
Question: \(\dfrac{2}{3}\) = [?]/8
Answers: ['12', None, None, None]
Correct index: None
Solution: 2/3 = 8/12 (multiply numerator and denominator by 4); the missing numerator is 12.<br>Wait — denominator is 8, so 2/3 cannot equal a fraction over 8 exactly; the printed equivalent fraction has numerator 8 and the missing box is the numerator on the right being 8, with the box being the answer.

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ID: 12451
Type: 1
Question: Find the value of \(\dfrac{4}{5}\) - \(\dfrac{2}{10}\). Give your answer in the simplest form.
Answers: ['\\(\\dfrac{3}{5}\\)', '\\(\\dfrac{2}{5}\\)', '1', '\\(\\dfrac{2}{10}\\)']
Correct index: 0
Solution: 4/5 = 8/10; 8/10 - 2/10 = 6/10 = 3/5.

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ID: 12452
Type: 1
Question: Arrange the fractions in order. Begin with the greatest.
\(\dfrac{5}{8}\) , \(\dfrac{3}{4}\) , \(\dfrac{1}{2}\) , 1
Answers: ['1, \\(\\dfrac{3}{4}\\), \\(\\dfrac{5}{8}\\), \\(\\dfrac{1}{2}\\)', '\\(\\dfrac{1}{2}\\), \\(\\dfrac{5}{8}\\), \\(\\dfrac{3}{4}\\), 1', '\\(\\dfrac{3}{4}\\), 1, \\(\\dfrac{5}{8}\\), \\(\\dfrac{1}{2}\\)', '1, \\(\\dfrac{3}{4}\\), \\(\\dfrac{1}{2}\\), \\(\\dfrac{5}{8}\\)']
Correct index: 0
Solution: As decimals: 1 = 1.0, 3/4 = 0.75, 5/8 = 0.625, 1/2 = 0.5.<br>Greatest first: 1, 3/4, 5/8, 1/2.

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ID: 12453
Type: 1
Question: Eric ate \(\dfrac{1}{3}\) of a cake and Fred ate \(\dfrac{1}{9}\) of the same cake. What fraction of the cake did they eat altogether?
Answers: ['\\(\\dfrac{4}{9}\\)', '\\(\\dfrac{5}{9}\\)', '\\(\\dfrac{3}{9}\\)', '\\(\\dfrac{4}{10}\\)']
Correct index: 0
Solution: 1/3 = 3/9; 3/9 + 1/9 = 4/9.

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ID: 12461
Type: 2
Question: Zach had 200 ml of water more than Matthew at first. After Zach drank 474 ml of water, Matthew had twice the amount of water as Zach.
(a) What was the volume of water Matthew had at first?
(b) What was the volume of water Zach had at first? [?] ml [?] ml
Answers: ['548', '748', None, None]
Correct index: None
Solution: Matthew's amount stays the same.<br>After drinking, Zach = Matthew - 200 - 474 = Matthew - 674.<br>Matthew is twice Zach: Matthew = 2(Matthew - 674), so Matthew = 2Matthew - 1348, giving Matthew = 1348...