Daily Practice

Higher Plus

23rd December 1987

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A rectangle is 8 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 648.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 13 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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