Daily Practice

Higher Plus

21st February 1965

5 questions · 14 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 1.5, one 10 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 152 and y = 71, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 6x + 3 and g(x) = 3x - 2. Work out fg(1).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 12 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 5 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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