Daily Practice

Higher Plus

6th December 1987

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

1
Bounds3 marks
x = 200 and y = 158, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 3) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 9 cm and an area of 27.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.

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