UK – Class 8

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Showing 6 question(s) for UK Class 8 — Subject: Mathematics
Mathematics
Q1. A number is increased by 20% and then decreased by 20%. Is the final number equal to the original number?
Answer: No. If the original number is 100, increasing it by 20% gives 120. Decreasing 120 by 20% gives 96, so the final number is 4% lower than the original.
Mathematics
Q2. Solve the equation 3x + 7 = 25.
Answer: Subtract 7 from both sides to get 3x = 18. Dividing by 3 gives x = 6.
Mathematics
Q3. What is the probability of getting an even number when a fair six-sided die is rolled?
Answer: The even outcomes are 2, 4 and 6. There are 3 favourable outcomes out of 6 possible outcomes, so the probability is 3/6 = 1/2.
Mathematics
Q4. What is the difference between a linear and a non-linear relationship?
Answer: A linear relationship changes at a constant rate and can be represented by a straight line on a graph. A non-linear relationship does not have a constant rate of change.
Mathematics
Q5. A rectangle has an area of 84 cm² and a length of 12 cm. What is its width?
Answer: Area = length × width. Therefore, width = 84 ÷ 12 = 7 cm.
Mathematics
Q6. Why does multiplying a number by 0.25 give the same result as dividing it by 4?
Answer: Because 0.25 is equal to 1/4. Multiplying by 1/4 is mathematically equivalent to dividing by 4.