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Year 7-8 MathEx Competition
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Year 7-8 MathEx Competition
🔢 Part 1: Number Operations & Algebra
1. Calculate: 2.5 × 4.8 + 3.7
2. Solve for x: 3x - 7 = 14
3. What is the value of 2³ × 5²?
40
200
160
100
4. Express 0.375 as a fraction in its simplest form.
5. If a = -3 and b = 5, find the value of 2a² - 3b
📊 Part 2: Fractions & Percentages
6. Calculate: 2¾ + 1⅝
7. What is 35% of $240?
8. A shirt originally costs $80. It's reduced by 25%. What is the sale price?
9. Express ⅝ as a percentage.
62.5%
58%
65%
60%
10. In a class of 28 students, ¾ passed their test. How many students passed?
📐 Part 3: Geometry & Measurement
11. Calculate the area of a triangle with base 12 cm and height 8 cm.
12. What is the circumference of a circle with radius 7 cm? (Use π = 3.14)
13. A rectangular garden is 15 metres long and 8 metres wide. What is its perimeter?
14. Convert 2.5 kilometres to metres.
250 m
2500 m
25000 m
25 m
15. Find the volume of a rectangular prism with length 6 cm, width 4 cm, and height 5 cm.
📈 Part 4: Data & Proportional Reasoning
16. The ratio of boys to girls in a school is 3:4. If there are 210 students in total, how many are boys?
17. A recipe for 6 people uses 450g of flour. How much flour is needed for 8 people?
18. The mean of five numbers is 12. Four of the numbers are 8, 10, 15, and 11. What is the fifth number?
19. A car travels 180 kilometres in 2.5 hours. What is its average speed in km/h?
70 km/h
72 km/h
75 km/h
80 km/h
🧩 Part 5: Problem Solving
20. Sarah saves $15 each week. She wants to buy a bicycle that costs $285. She already has $75 saved. How many more weeks does she need to save?
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