JMC 2022 Challenge

1. Which of these has the greatest value?

2. The number 5012 is reflected in the mirror-line shown. Onto which number is it reflected?

3. Think of any number. Add five; multiply by two; add ten; divide by two; subtract your original number; add three. What is the resulting number?

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4. What is the value of 0.6 + $\frac{2}{5}$

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5. How many of the following take integer values?

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6. The diagram shows the square 𝑅𝑆𝑇𝑈 and two equilateral triangles, 𝑃𝑈𝑇 and 𝑄𝑅𝑈.

What is the size of angle 𝑄𝑃𝑈?

7. Kiwi fruit contain roughly two and a half times as much vitamin C as the same weight of oranges. What weight of kiwi fruit contains approximately the same amount of vitamin C as 1 kg of oranges?

8. Today is Thursday. What day will it be in 100 days’ time?

9. How many squares of any size can be seen in the diagram?

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10. Half of a quarter of an eighth of a number is equal to $\frac{1}{2}$ + $\frac{1}{4}$ + $\frac{1}{8}$.

What is the number?

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11. Nine of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are to be put in two groups so that the sum of thenumbers in each group is a multiple of four.What is the largest number that could be left out?

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12. When my pot of paint is half full, it weighs 5.8 kg. When my pot of paint is one quarter full, it weighs 3.1 kg. What is the weight of the full pot?

13. The diagram shows five squares whose side-lengths, in cm, are 1, 2, 3, 4 and 5.

What percentage of the area of the outer square is shaded?

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14. A group of children stand evenly spaced around a circular ring and are numbered consecutively 1, 2,3, and so on. Number 13 is directly opposite number 35. How many children are there in the ring?

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15. What is the value of 2 ÷ (4 ÷ (6 ÷ (8 ÷ 10)))?

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