Daily Practice

Higher Plus

8th October 1990

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 20.5 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 7 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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