Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th January 1993

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, one 25 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A block has mass 740 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 2x + 9 and g(x) = 2x - 5. Work out fg(-3).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 13 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 14 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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