Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th July 1993

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A car covers 710 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 7) with x(0) = 5. 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 = 144. Work out the positive value of x when y = 144.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 7 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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