Daily Practice

Higher Plus

9th January 1957

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Bounds3 marks
A rectangle is 28 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 4. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.

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