Daily Practice

Higher Plus

17th July 1961

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

1
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A block has mass 570 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 10 seconds. Work out its deceleration.

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