Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd May 2009

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

1
Bounds3 marks
A car covers 250 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 56°, side a is 20 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 11 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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