Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th October 1995

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 0.4, one 5 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 13 cm by 9 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 (4x(n) + 2) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 16. Work out the positive value of x when y = 324.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 6 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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