Daily Practice

Higher Plus

1st April 1985

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 1.5, one 5 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A block has mass 220 g (to the nearest 10 g) and volume 16 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) = 3x + 9. Work out fg(1).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 16 m/s over 5 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + b and vector RS = 2a + 2b. What does this show about PQ and RS?

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