Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th January 2022

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 147 and y = 107, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
3
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 9 cm with an angle of 121° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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