[
{"id": 11404, "action": "convert", "question": "$$\\frac{3}{11}$$ + $$\\frac{7}{11}$$ = ", "answer0": "$$\\frac{10}{22}$$", "answer1": "$$\\frac{10}{11}$$", "answer2": "$$\\frac{21}{11}$$", "answer3": "$$\\frac{4}{11}$$", "correct_answer": 1, "reason": "Fraction sum; distractors: added denominators, multiplied, subtracted."},
{"id": 11405, "action": "skip", "question": "Arrange the following fractions in order. Begin with the greatest fraction.\n1/8, 1/3, 1/5", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11466, "action": "convert", "question": "The figure is made of identical triangles. What fraction of the figure is not shaded? ", "answer0": "$$\\frac{9}{12}$$", "answer1": "$$\\frac{3}{12}$$", "answer2": "$$\\frac{9}{21}$$", "answer3": "$$\\frac{12}{9}$$", "correct_answer": 0, "reason": "Single fraction answer; distractors: shaded fraction, miscount, inverted."},
{"id": 11467, "action": "convert", "question": "1 - $$\\frac{2}{6}$$ = ", "answer0": "$$\\frac{4}{6}$$", "answer1": "$$\\frac{2}{6}$$", "answer2": "$$\\frac{5}{6}$$", "answer3": "$$\\frac{3}{6}$$", "correct_answer": 0, "reason": "Subtraction from whole; distractors: kept subtrahend, off-by-one numerator."},
{"id": 11468, "action": "convert", "question": "$$\\frac{5}{7}$$ + $$\\frac{2}{7}$$ = ", "answer0": "$$\\frac{7}{7}$$", "answer1": "$$\\frac{7}{14}$$", "answer2": "$$\\frac{3}{7}$$", "answer3": "$$\\frac{10}{7}$$", "correct_answer": 0, "reason": "Sum equals 7/7; distractors: added denominators, subtracted, multiplied."},
{"id": 11472, "action": "skip", "question": "Arrange the following fractions in order. Begin with the smallest. 1/2, 1/7, 1/4, 1/10 , , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11634, "action": "convert", "question": "What fraction of the figure is shaded?", "answer0": "$$\\frac{3}{9}$$", "answer1": "$$\\frac{6}{9}$$", "answer2": "$$\\frac{9}{3}$$", "answer3": "$$\\frac{3}{6}$$", "correct_answer": 0, "reason": "Single fraction answer; distractors: unshaded part, inverted, wrong total."},
{"id": 11636, "action": "convert", "question": "$$\\frac{11}{12}$$ + ? = 1", "answer0": "$$\\frac{2}{12}$$", "answer1": "$$\\frac{1}{12}$$", "answer2": "$$\\frac{11}{12}$$", "answer3": "$$\\frac{1}{11}$$", "correct_answer": 1, "reason": "Complement to 1; distractors: off-by-one numerator, same fraction, wrong denominator."},
{"id": 11637, "action": "convert", "question": "Find the sum of $$\\frac{3}{8}$$ and $$\\frac{2}{8}$$.", "answer0": "$$\\frac{5}{8}$$", "answer1": "$$\\frac{5}{16}$$", "answer2": "$$\\frac{1}{8}$$", "answer3": "$$\\frac{6}{8}$$", "correct_answer": 0, "reason": "Fraction sum; distractors: added denominators, subtracted, multiplied numerators."},
{"id": 11682, "action": "convert", "question": "What fraction of the figure is shaded? ? of the figure is shaded.", "answer0": "$$\\frac{5}{12}$$", "answer1": "$$\\frac{7}{12}$$", "answer2": "$$\\frac{5}{7}$$", "answer3": "$$\\frac{12}{5}$$", "correct_answer": 0, "reason": "Single fraction answer; distractors: unshaded part, wrong total, inverted."},
{"id": 11685, "action": "skip", "question": "Arrange the fractions in order. Begin with the greatest. 1/7 , 3/7 , 1/11 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11686, "action": "skip", "question": "(a) 1/5 + 3/5 = (b) 1 - 3/10 = ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Two separate parts with different fraction answers; cannot be one MCQ."},
{"id": 11726, "action": "skip", "question": "Arrange the fractions in order. Begin with the smallest. , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11727, "action": "convert", "question": "$$\\frac{4}{11}$$ + $$\\frac{5}{11}$$ = ", "answer0": "$$\\frac{9}{22}$$", "answer1": "$$\\frac{1}{11}$$", "answer2": "$$\\frac{9}{11}$$", "answer3": "$$\\frac{20}{11}$$", "correct_answer": 2, "reason": "Fraction sum; distractors: added denominators, subtracted, multiplied."},
{"id": 11730, "action": "convert", "question": "$$\\frac{3}{8}$$ and ? make a whole.", "answer0": "$$\\frac{5}{8}$$", "answer1": "$$\\frac{3}{8}$$", "answer2": "$$\\frac{4}{8}$$", "answer3": "$$\\frac{5}{16}$$", "correct_answer": 0, "reason": "Complement to 1; distractors: same fraction, half, wrong denominator."},
{"id": 11775, "action": "skip", "question": "Arrange the following fractions from the smallest to the greatest. 1/7, 1/2, 1/10", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11820, "action": "skip", "question": "Arrange the fractions from the greatest to the smallest. 1/8 , 1/12 , 1/3 (greatest) , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11822, "action": "skip", "question": "Arrange the fractions from the smallest to the greatest. 5/9 , 8/9 , 2/9 (smallest) , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11827, "action": "convert", "question": "What fraction of the figure is shaded? $$\\frac{3}{7}$$ + $$\\frac{2}{7}$$ = ", "answer0": "$$\\frac{5}{7}$$", "answer1": "$$\\frac{5}{14}$$", "answer2": "$$\\frac{1}{7}$$", "answer3": "$$\\frac{6}{7}$$", "correct_answer": 0, "reason": "Fraction sum; distractors: added denominators, subtracted, off-by-one."},
{"id": 11888, "action": "convert", "question": "$$\\frac{3}{9}$$ + $$\\frac{5}{9}$$ = ", "answer0": "$$\\frac{8}{18}$$", "answer1": "$$\\frac{2}{9}$$", "answer2": "$$\\frac{8}{9}$$", "answer3": "$$\\frac{15}{9}$$", "correct_answer": 2, "reason": "Fraction sum; distractors: added denominators, subtracted, multiplied."},
{"id": 11889, "action": "convert", "question": "$$\\frac{2}{7}$$ + ? = 1", "answer0": "$$\\frac{2}{7}$$", "answer1": "$$\\frac{6}{7}$$", "answer2": "$$\\frac{5}{7}$$", "answer3": "$$\\frac{5}{14}$$", "correct_answer": 2, "reason": "Complement to 1; distractors: same fraction, off-by-one, wrong denominator."},
{"id": 11890, "action": "skip", "question": "Arrange the fractions in order, beginning with the largest. 5/9, 1/9, 4/9 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11892, "action": "convert", "question": "The figure is made up of 3 similar squares. What fraction of the figure is not shaded? ", "answer0": "$$\\frac{5}{6}$$", "answer1": "$$\\frac{1}{6}$$", "answer2": "$$\\frac{1}{3}$$", "answer3": "$$\\frac{6}{1}$$", "correct_answer": 1, "reason": "Single fraction answer; distractors: shaded fraction, wrong total, inverted."},
{"id": 11895, "action": "skip", "question": "Arrange the following fractions in order. Begin with the smallest fraction. 1/5, 1/7, 1/3, 1/9 , , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11897, "action": "convert", "question": "Tom's mother bought a pizza for dinner. She gave half the pizza to their neighbour. Then she and Tom ate $$\\frac{1}{10}$$ of the pizza each. What fraction of the pizza is left? ", "answer0": "$$\\frac{2}{10}$$", "answer1": "$$\\frac{4}{10}$$", "answer2": "$$\\frac{3}{10}$$", "answer3": "$$\\frac{7}{10}$$", "correct_answer": 2, "reason": "Word problem; distractors: forgot one tenth, miscount, omitted half."},
{"id": 11921, "action": "convert", "question": "$$\\frac{1}{6}$$ + $$\\frac{4}{6}$$ = ", "answer0": "$$\\frac{5}{12}$$", "answer1": "$$\\frac{3}{6}$$", "answer2": "$$\\frac{5}{6}$$", "answer3": "$$\\frac{4}{6}$$", "correct_answer": 2, "reason": "Fraction sum; distractors: added denominators, subtracted, copied addend."},
{"id": 11922, "action": "convert", "question": "$$\\frac{10}{11}$$ - $$\\frac{4}{11}$$ = ", "answer0": "$$\\frac{6}{11}$$", "answer1": "$$\\frac{14}{11}$$", "answer2": "$$\\frac{6}{0}$$", "answer3": "$$\\frac{7}{11}$$", "correct_answer": 0, "reason": "Fraction difference; distractors: added instead, subtracted denominators, off-by-one."},
{"id": 11923, "action": "skip", "question": "Arrange the fractions in order. Begin with the smallest fraction. 3/7, 2/7, 6/7", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11925, "action": "skip", "question": "Arrange the following fractions in order. Begin with the greatest fraction. 1/6, 1/11, 1/2, 1/10", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 11927, "action": "skip", "question": "The figure is made up of a square and 3 triangles of the same size. Each triangle is 1/2 of the square. a) What fraction of the figure is shaded? b) What fraction of the figure needs to be shaded to make 1 whole?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Two parts with different fraction answers (4/5 and 1/5); cannot be one MCQ."},
{"id": 11928, "action": "skip", "question": "Circle three different fractions that add up to 1 whole. 1/8, 2/8, 3/8, 5/8, 7/8", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Select-multiple question (three fractions); cannot be one single-answer MCQ."},
{"id": 11952, "action": "convert", "question": "$$\\frac{5}{9}$$ + $$\\frac{3}{9}$$ = ", "answer0": "$$\\frac{8}{18}$$", "answer1": "$$\\frac{8}{9}$$", "answer2": "$$\\frac{2}{9}$$", "answer3": "$$\\frac{15}{9}$$", "correct_answer": 1, "reason": "Fraction sum; distractors: added denominators, subtracted, multiplied."},
{"id": 11953, "action": "skip", "question": "Arrange the fractions in order. Begin with the smallest. , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12185, "action": "convert", "question": "What fraction of the shape is shaded? ", "answer0": "$$\\frac{5}{8}$$", "answer1": "$$\\frac{3}{8}$$", "answer2": "$$\\frac{8}{3}$$", "answer3": "$$\\frac{3}{5}$$", "correct_answer": 1, "reason": "Single fraction answer; distractors: unshaded part, inverted, wrong total."},
{"id": 12215, "action": "convert", "question": "$$\\frac{2}{7}$$ and ? make 1 whole.", "answer0": "$$\\frac{5}{7}$$", "answer1": "$$\\frac{2}{7}$$", "answer2": "$$\\frac{6}{7}$$", "answer3": "$$\\frac{5}{14}$$", "correct_answer": 0, "reason": "Complement to 1; distractors: same fraction, off-by-one, wrong denominator."},
{"id": 12218, "action": "skip", "question": "Arrange the fractions in order. Begin with the greatest. 1/10 , 1/5 , 1/7", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12254, "action": "skip", "question": "Arrange the fractions in order. Begin with the smallest. 1/6 , 1/4 , 1/11", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12256, "action": "skip", "question": "Arrange the fractions in order. Begin with the greatest. 3/5 , 1/5 , 4/5", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12261, "action": "convert", "question": "Complete the following equation. 1 - $$\\frac{2}{6}$$ = ", "answer0": "$$\\frac{4}{6}$$", "answer1": "$$\\frac{2}{6}$$", "answer2": "$$\\frac{5}{6}$$", "answer3": "$$\\frac{3}{6}$$", "correct_answer": 0, "reason": "Subtraction from whole; distractors: kept subtrahend, off-by-one numerator."},
{"id": 12328, "action": "convert", "question": "Find the value of $$\\frac{7}{12}$$ + $$\\frac{1}{6}$$. ", "answer0": "$$\\frac{8}{18}$$", "answer1": "$$\\frac{9}{12}$$", "answer2": "$$\\frac{8}{12}$$", "answer3": "$$\\frac{9}{18}$$", "correct_answer": 1, "reason": "Unlike-denominator sum; distractors: added all parts, no conversion, wrong common denom."},
{"id": 12330, "action": "convert", "question": "Find the value in the box. $$\\frac{2}{3}$$ − $$\\frac{1}{9}$$ = 1 − ?", "answer0": "$$\\frac{4}{9}$$", "answer1": "$$\\frac{5}{9}$$", "answer2": "$$\\frac{1}{9}$$", "answer3": "$$\\frac{3}{9}$$", "correct_answer": 0, "reason": "Equation solving; distractors: used LHS value directly, off-by-one, partial."},
{"id": 12331, "action": "skip", "question": "Which two of the following fractions are greater than 1/2? 5/8, 4/9, 3/6, 6/11. and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Select-two question with two distinct fraction answers; cannot be one MCQ."},
{"id": 12367, "action": "convert", "question": "Express $$\\frac{6}{10}$$ in its simplest form. ", "answer0": "$$\\frac{3}{5}$$", "answer1": "$$\\frac{6}{10}$$", "answer2": "$$\\frac{2}{5}$$", "answer3": "$$\\frac{3}{10}$$", "correct_answer": 0, "reason": "Simplify; distractors: unsimplified, wrong numerator, half-simplified."},
{"id": 12372, "action": "convert", "question": "The number line is marked at equal intervals. What is the missing fraction indicated by the arrow on the number line? ", "answer0": "$$\\frac{5}{8}$$", "answer1": "$$\\frac{4}{8}$$", "answer2": "$$\\frac{6}{8}$$", "answer3": "$$\\frac{5}{6}$$", "correct_answer": 0, "reason": "Number-line fraction; distractors: off-by-one interval, wrong denominator."},
{"id": 12373, "action": "convert", "question": "$$\\frac{1}{12}$$ + $$\\frac{3}{4}$$ = ", "answer0": "$$\\frac{4}{16}$$", "answer1": "$$\\frac{10}{12}$$", "answer2": "$$\\frac{4}{12}$$", "answer3": "$$\\frac{9}{12}$$", "correct_answer": 1, "reason": "Unlike-denominator sum; distractors: added all parts, no conversion, off-by-one."},
{"id": 12413, "action": "convert", "question": "Find the value of $$\\frac{1}{5}$$ + $$\\frac{3}{10}$$ . Give your answer in its simplest form.\n", "answer0": "$$\\frac{1}{2}$$", "answer1": "$$\\frac{5}{10}$$", "answer2": "$$\\frac{4}{15}$$", "answer3": "$$\\frac{2}{5}$$", "correct_answer": 0, "reason": "Sum then simplify; distractors: unsimplified, added across, wrong sum."},
{"id": 12417, "action": "skip", "question": "(a) Express 8/12 in its simplest form.\n(b) Give an equivalent fraction of 4/9 .\n(a) (b) ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Two parts with different answers; part (b) also accepts any equivalent fraction; not one MCQ."},
{"id": 12426, "action": "skip", "question": "Arrange the following fractions from the smallest to the largest.\n5/9 , 1/3 , 5/6\n , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12451, "action": "convert", "question": "Find the value of $$\\frac{4}{5}$$ - $$\\frac{2}{10}$$. Give your answer in the simplest form.", "answer0": "$$\\frac{3}{5}$$", "answer1": "$$\\frac{6}{10}$$", "answer2": "$$\\frac{2}{5}$$", "answer3": "$$\\frac{2}{10}$$", "correct_answer": 0, "reason": "Difference then simplify; distractors: unsimplified, wrong difference."},
{"id": 12452, "action": "skip", "question": "Arrange the fractions in order. Begin with the greatest.\n5/8 , 3/4 , 1/2 , 1\n , , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple answers; cannot be one MCQ."},
{"id": 12453, "action": "convert", "question": "Eric ate $$\\frac{1}{3}$$ of a cake and Fred ate $$\\frac{1}{9}$$ of the same cake. What fraction of the cake did they eat altogether?", "answer0": "$$\\frac{4}{9}$$", "answer1": "$$\\frac{2}{12}$$", "answer2": "$$\\frac{2}{9}$$", "answer3": "$$\\frac{5}{9}$$", "correct_answer": 0, "reason": "Unlike-denominator sum; distractors: added across, no conversion, off-by-one."},
{"id": 12479, "action": "skip", "question": "Arrange the following fractions from the smallest to the largest.\n2/7 , 4/5 , 4/7\n , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12480, "action": "convert", "question": "Find the value of $$\\frac{1}{3}$$ − $$\\frac{1}{6}$$.\n", "answer0": "$$\\frac{1}{6}$$", "answer1": "$$\\frac{0}{3}$$", "answer2": "$$\\frac{2}{6}$$", "answer3": "$$\\frac{1}{3}$$", "correct_answer": 0, "reason": "Unlike-denominator difference; distractors: subtracted across, no conversion, off-by-one."},
{"id": 12538, "action": "convert", "question": "What fraction of the figure is shaded? Give your answer in its simplest form.", "answer0": "$$\\frac{1}{3}$$", "answer1": "$$\\frac{2}{6}$$", "answer2": "$$\\frac{2}{3}$$", "answer3": "$$\\frac{3}{1}$$", "correct_answer": 0, "reason": "Shaded fraction simplified; distractors: unsimplified, unshaded, inverted."},
{"id": 12539, "action": "skip", "question": "A set of fractions is shown.\n2/8 , 5/6 , 3/4 , 1/12\nWhich 2 fractions will add up to 1 whole?\nAns: , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Select-two question with two distinct fraction answers; cannot be one MCQ."},
{"id": 12585, "action": "convert", "question": "The figure is made up of 6 identical rectangles. What fraction of the figure is shaded? Give your answer in its simplest form. ", "answer0": "$$\\frac{1}{3}$$", "answer1": "$$\\frac{2}{6}$$", "answer2": "$$\\frac{2}{3}$$", "answer3": "$$\\frac{4}{6}$$", "correct_answer": 0, "reason": "Shaded fraction simplified; distractors: unsimplified, unshaded, unshaded-unsimplified."},
{"id": 12627, "action": "convert", "question": "$$\\frac{4}{5}$$ - $$\\frac{3}{10}$$ = \nExpress your answer in the simplest form.", "answer0": "$$\\frac{1}{2}$$", "answer1": "$$\\frac{5}{10}$$", "answer2": "$$\\frac{1}{5}$$", "answer3": "$$\\frac{5}{5}$$", "correct_answer": 0, "reason": "Difference then simplify; distractors: unsimplified, subtracted across, no conversion."},
{"id": 12646, "action": "convert", "question": "What is the missing fraction in the box? Express your answer in its simplest form. $$\\frac{3}{4}$$ + $$\\frac{1}{12}$$ = ", "answer0": "$$\\frac{10}{12}$$", "answer1": "$$\\frac{5}{6}$$", "answer2": "$$\\frac{4}{16}$$", "answer3": "$$\\frac{2}{3}$$", "correct_answer": 1, "reason": "Sum then simplify; distractors: unsimplified, added across, wrong value."},
{"id": 12651, "action": "skip", "question": "Which two of the fractions are smaller than 1/2? 2/8 , 3/9 , 8/10 , 9/12 , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Select-two question with two distinct fraction answers; cannot be one MCQ."},
{"id": 12658, "action": "convert", "question": "Find the difference between $$\\frac{11}{12}$$ and $$\\frac{1}{4}$$. Give your answer in its simplest form. ", "answer0": "$$\\frac{8}{12}$$", "answer1": "$$\\frac{2}{3}$$", "answer2": "$$\\frac{10}{8}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 1, "reason": "Difference then simplify; distractors: unsimplified, subtracted across, wrong value."},
{"id": 12679, "action": "skip", "question": "Name the pair of parallel lines in the figure. ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Answer 'BC // DE' is a geometry notation, not a fraction; '//' is parallel symbol."},
{"id": 12788, "action": "convert", "question": "Find the value of $$\\frac{7}{12}$$ - $$\\frac{1}{3}$$ . Write your answer in the simplest form.", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{3}{12}$$", "answer2": "$$\\frac{6}{9}$$", "answer3": "$$\\frac{1}{3}$$", "correct_answer": 0, "reason": "Difference then simplify; distractors: unsimplified, subtracted across, wrong value."},
{"id": 12789, "action": "skip", "question": "Arrange the fractions in order, beginning with the smallest. 1/2 , 3/5 , 3/8 , 3/7 , , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12846, "action": "convert", "question": "What fraction of the figure is shaded? ", "answer0": "$$\\frac{7}{10}$$", "answer1": "$$\\frac{3}{10}$$", "answer2": "$$\\frac{10}{3}$$", "answer3": "$$\\frac{3}{7}$$", "correct_answer": 1, "reason": "Single fraction answer; distractors: unshaded part, inverted, wrong total."},
{"id": 12852, "action": "skip", "question": "(a) Find the value of 2/3 - 2/9 . Express your answer in the simplest form. (b) Find the value of 1/2 + 3/8 . Express your answer in the simplest form. (a) (b) ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Two parts with different fraction answers (4/9 and 7/8); cannot be one MCQ."},
{"id": 12883, "action": "convert", "question": "Find the value of $$\\frac{1}{2}$$ + $$\\frac{3}{10}$$. Give your answer in its simplest form. ", "answer0": "$$\\frac{4}{12}$$", "answer1": "$$\\frac{8}{10}$$", "answer2": "$$\\frac{4}{5}$$", "answer3": "$$\\frac{2}{5}$$", "correct_answer": 2, "reason": "Sum then simplify; distractors: added across, unsimplified, wrong value."},
{"id": 12893, "action": "skip", "question": "Arrange the following fractions from the greatest to the smallest. 3/4, 1/2, 7/8 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12920, "action": "convert", "question": "Find the difference between $$\\frac{1}{3}$$ and $$\\frac{5}{6}$$.", "answer0": "$$\\frac{4}{3}$$", "answer1": "$$\\frac{1}{2}$$", "answer2": "$$\\frac{3}{6}$$", "answer3": "$$\\frac{4}{6}$$", "correct_answer": 1, "reason": "Unlike-denominator difference (=3/6=1/2); distractors: added, unsimplified, off-by-one."},
{"id": 12957, "action": "convert", "question": "Express $$\\frac{18}{24}$$ as a fraction in its simplest form. ", "answer0": "$$\\frac{3}{4}$$", "answer1": "$$\\frac{9}{12}$$", "answer2": "$$\\frac{2}{3}$$", "answer3": "$$\\frac{6}{8}$$", "correct_answer": 0, "reason": "Simplify; distractors: half-simplified forms, wrong gcd."},
{"id": 12969, "action": "skip", "question": "Arrange the following fractions from the smallest to the biggest. 1/8, 3/4, 5/12 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 12978, "action": "convert", "question": "The figure is made up of 3 identical rectangles and 1 square. The perimeter of the square is 36 cm. The length of one rectangle is 4 cm longer than its breadth. Find the area of the shaded rectangle. ", "answer0": "$$3\\frac{1}{2}$$", "answer1": "$$2\\frac{1}{2}$$", "answer2": "$$4\\frac{1}{2}$$", "answer3": "$$3\\frac{1}{4}$$", "correct_answer": 0, "reason": "Mixed-number answer; distractors: ±1 whole part, wrong fractional part."},
{"id": 13015, "action": "convert", "question": "In the number line, A represents $$\\frac{4}{9}$$, C represents $$\\frac{2}{3}$$ and B is exactly between A and C. What fraction does B represent?", "answer0": "$$\\frac{5}{9}$$", "answer1": "$$\\frac{6}{9}$$", "answer2": "$$\\frac{4}{9}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 0, "reason": "Midpoint fraction; distractors: endpoint values, half."},
{"id": 13016, "action": "convert", "question": "Find the difference between the smallest and greatest fractions.\n$$\\frac{3}{4}$$, $$\\frac{1}{2}$$, $$\\frac{7}{8}$$", "answer0": "$$\\frac{3}{8}$$", "answer1": "$$\\frac{6}{8}$$", "answer2": "$$\\frac{4}{8}$$", "answer3": "$$\\frac{1}{8}$$", "correct_answer": 0, "reason": "Difference of extremes (7/8-1/2); distractors: used 3/4, used 1/2, off-by-one."},
{"id": 13017, "action": "convert", "question": "Mother bought a pizza and sliced it into 12 equal pieces for a party. Iris took 3 pieces of the pizza. What fraction of the pizza did Iris take? Express your answer as a fraction in its simplest form.", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{3}{12}$$", "answer2": "$$\\frac{1}{3}$$", "answer3": "$$\\frac{1}{12}$$", "correct_answer": 0, "reason": "Fraction then simplify; distractors: unsimplified, inverted, single piece."},
{"id": 13042, "action": "skip", "question": "Arrange the following fractions from the greatest to the smallest. 5/9, 5/6, 5/7 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 13071, "action": "convert", "question": "The number line is marked at equal interval. Find the missing fraction in the box.\n\n$$\\frac{1}{10}$$, $$\\frac{2}{10}$$, $$\\frac{3}{10}$$, ?, $$\\frac{5}{10}$$", "answer0": "$$\\frac{4}{10}$$", "answer1": "$$\\frac{6}{10}$$", "answer2": "$$\\frac{4}{5}$$", "answer3": "$$\\frac{3}{10}$$", "correct_answer": 0, "reason": "Number-line pattern; distractors: off-by-one interval, simplified-wrong, repeat."},
{"id": 13073, "action": "convert", "question": "$$\\frac{5}{12}$$ - $$\\frac{1}{4}$$ = \nGive your answer in its simplest form.", "answer0": "$$\\frac{2}{12}$$", "answer1": "$$\\frac{1}{6}$$", "answer2": "$$\\frac{4}{8}$$", "answer3": "$$\\frac{1}{3}$$", "correct_answer": 1, "reason": "Difference then simplify; distractors: unsimplified, subtracted across, wrong value."},
{"id": 13074, "action": "convert", "question": "$$\\frac{1}{2}$$ + $$\\frac{1}{7}$$ = \nGive your answer in its simplest form.", "answer0": "$$\\frac{2}{9}$$", "answer1": "$$\\frac{9}{14}$$", "answer2": "$$\\frac{8}{14}$$", "answer3": "$$\\frac{7}{14}$$", "correct_answer": 1, "reason": "Unlike-denominator sum; distractors: added across, off-by-one numerator."},
{"id": 13096, "action": "skip", "question": "Arrange the following fractions from the greatest to the smallest. 3/5 , 1/4 , 7/10 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 13100, "action": "convert", "question": "$$\\frac{1}{3}$$ + $$\\frac{3}{9}$$ = ? Give your answer in the simplest form.", "answer0": "$$\\frac{2}{3}$$", "answer1": "$$\\frac{6}{9}$$", "answer2": "$$\\frac{4}{12}$$", "answer3": "$$\\frac{4}{9}$$", "correct_answer": 0, "reason": "Sum then simplify; distractors: unsimplified, added across, off-by-one."},
{"id": 13106, "action": "convert", "question": "Look at the number line. What is the missing fraction?", "answer0": "$$\\frac{5}{6}$$", "answer1": "$$\\frac{4}{6}$$", "answer2": "$$\\frac{6}{6}$$", "answer3": "$$\\frac{5}{7}$$", "correct_answer": 0, "reason": "Number-line fraction; distractors: off-by-one interval, whole, wrong denominator."},
{"id": 13201, "action": "convert", "question": "Express $$\\frac{6}{10}$$ in its simplest form.", "answer0": "$$\\frac{3}{5}$$", "answer1": "$$\\frac{6}{10}$$", "answer2": "$$\\frac{2}{5}$$", "answer3": "$$\\frac{3}{10}$$", "correct_answer": 0, "reason": "Simplify; distractors: unsimplified, wrong numerator, half-simplified."},
{"id": 13203, "action": "skip", "question": "Give a possible fraction that is smaller than 1/5.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Open-ended 'give a possible fraction'; many valid answers, not a single-key MCQ."},
{"id": 13216, "action": "skip", "question": "Arrange this set of fractions in order, beginning with the smallest. 2/5 , 2/7 , 2/3 , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 13219, "action": "convert", "question": "Express $$\\frac{9}{12}$$ in its simplest form. ", "answer0": "$$\\frac{3}{4}$$", "answer1": "$$\\frac{9}{12}$$", "answer2": "$$\\frac{3}{12}$$", "answer3": "$$\\frac{4}{3}$$", "correct_answer": 0, "reason": "Simplify; distractors: unsimplified, partial, inverted."},
{"id": 13220, "action": "convert", "question": "What fraction of the figure is shaded? Give your answer in the simplest form. ", "answer0": "$$\\frac{4}{9}$$", "answer1": "$$\\frac{5}{9}$$", "answer2": "$$\\frac{8}{18}$$", "answer3": "$$\\frac{9}{4}$$", "correct_answer": 0, "reason": "Shaded fraction; distractors: unshaded part, equivalent unsimplified, inverted."},
{"id": 13221, "action": "convert", "question": "Find the value of $$\\frac{6}{10}$$ - $$\\frac{1}{5}$$. Give your answer in the simplest form. ", "answer0": "$$\\frac{4}{10}$$", "answer1": "$$\\frac{2}{5}$$", "answer2": "$$\\frac{5}{5}$$", "answer3": "$$\\frac{1}{5}$$", "correct_answer": 1, "reason": "Difference then simplify; distractors: unsimplified, subtracted across, wrong value."},
{"id": 13222, "action": "convert", "question": "Find the value of $$\\frac{1}{3}$$ + $$\\frac{1}{12}$$. Give your answer in the simplest form. ", "answer0": "$$\\frac{2}{15}$$", "answer1": "$$\\frac{5}{12}$$", "answer2": "$$\\frac{4}{12}$$", "answer3": "$$\\frac{6}{12}$$", "correct_answer": 1, "reason": "Unlike-denominator sum; distractors: added across, no conversion, off-by-one."},
{"id": 13263, "action": "skip", "question": "Which of the following fractions is smaller than 1/3?\n\n2/9, 1/2, 5/6\n\nAns: ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Selection question whose options are the listed fractions; converting to MCQ would reuse the same options trivially — leave as-is per scope."},
{"id": 13285, "action": "skip", "question": "Arrange the fractions from the smallest to the greatest.\n3/9 , 1/9 , 4/9\n , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 13301, "action": "convert", "question": "Find the missing fraction in the box.\n\n$$\\frac{1}{12}$$, $$\\frac{1}{4}$$, $$\\frac{5}{12}$$, ?, $$\\frac{3}{4}$$\n\n", "answer0": "$$\\frac{7}{12}$$", "answer1": "$$\\frac{6}{12}$$", "answer2": "$$\\frac{8}{12}$$", "answer3": "$$\\frac{7}{4}$$", "correct_answer": 0, "reason": "Pattern step 2/12; distractors: half-step, over-step, wrong denominator."},
{"id": 13326, "action": "skip", "question": "Arrange the fractions in order. Begin with the greatest. 3/8 , 1/4 , 7/11 , 3/7 , , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."},
{"id": 13340, "action": "convert", "question": "There were some marbles in a box. $$\\frac{1}{3}$$ of the marbles were green and $$\\frac{5}{12}$$ of the marbles were red. The rest of the marbles were blue. What fraction of the marbles were blue? Give your answers in its simplest form. ", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{3}{12}$$", "answer2": "$$\\frac{9}{12}$$", "answer3": "$$\\frac{1}{3}$$", "correct_answer": 0, "reason": "Remaining fraction then simplify; distractors: unsimplified, green+red, wrong value."},
{"id": 13361, "action": "convert", "question": "Express $$\\frac{6}{9}$$ in its simplest form.", "answer0": "$$\\frac{2}{3}$$", "answer1": "$$\\frac{6}{9}$$", "answer2": "$$\\frac{3}{2}$$", "answer3": "$$\\frac{1}{3}$$", "correct_answer": 0, "reason": "Simplify; distractors: unsimplified, inverted, wrong gcd."},
{"id": 13367, "action": "skip", "question": "Arrange the following fractions in order. Begin with the greatest.\n7/10, 2/5, 1/2", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question with multiple fraction answers; cannot be one MCQ."}
]