Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th February 2021

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

1
Bounds3 marks
x = 162 and y = 79, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 5) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 4 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 68°, side a is 19 cm and side b is 14 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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