Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

26th August 2022

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.

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