Daily Practice

Higher Plus

8th September 1974

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 43 and y = 31, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Quadratic Inequalities3 marks
Solve x^2 + 7x + 6 < 0.
4
Velocity Time Graphs3 marks
A tram runs at 12 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 9 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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