Daily Practice

Higher Plus

23rd January 1982

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 0.4, one 10 units wide with density 3. How many values in total?
2
Bounds3 marks
A car covers 470 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Factorising Harder Quadratics3 marks
Solve 8x^2 - 6x - 9 = 0.
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 = 128.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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