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Question 1 of 6
hard
A square is divided into 8 equal parts. 3 parts are fully shaded and 1 part is half-shaded. What fraction of the whole is shaded?
Explanation: 3 full parts = 3/8 = 6/16. Half of 1 part = 1/16. Total = 7/16.
Question 2 of 6
hard
Next in pattern: 1/2, 2/4, 3/6, 4/8, ___?
Explanation: Pattern: numerator +1, denominator +2. Next: 5/10. All are equivalent to 1/2.
Question 3 of 6
hard
If 2/3 = 8/box = box/15, what are the two missing numbers?
Explanation: 2/3 = 8/12 (x4); 2/3 = 10/15 (x5). The two boxes are 12 and 10.
Question 4 of 6
hard
Which is greater: sum of 3/11 and 5/11, or 2/3?
Explanation: Sum = 8/11. Convert to common denom: 8/11=24/33, 2/3=22/33. 24>22, so the sum (8/11) is greater.
Question 5 of 6
hard
What is 1/2 of 2/3?
Explanation: 1/2 x 2/3 = 2/6 = 1/3. Both A and B represent the same value.
Question 6 of 6
hard
In a class, 3/8 of students are boys. 2/3 of the boys like cricket. What fraction of the whole class are boys who like cricket?
Explanation: (2/3) x (3/8) = 6/24 = 1/4. So 1/4 of the class are cricket-loving boys.
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