Daily Practice

Higher Plus

24th October 1987

5 questions · 14 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 2.5, one 5 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A car covers 530 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
Quadratic Inequalities3 marks
Solve x^2 + 4x - 12 > 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 27 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 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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