Daily Practice

Higher Plus

20th June 1989

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

1
Probability Equation Questions3 marks
A bag holds 3 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 40 < x <= 45 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
4
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.

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