Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th June 1994

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 3.5. How many values in total?
2
Bounds3 marks
A block has mass 240 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 16.5 m/s over 5 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 6b and vector RS = 4a + 24b. What does this show about PQ and RS?

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