Daily Practice

Higher Plus

16th December 1955

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

1
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
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 38 m/s to rest in 4 seconds. Work out its deceleration.

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