Daily Practice

Higher Plus

14th October 1989

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

1
Bounds3 marks
A car covers 790 m (to the nearest 10 m) in 7 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 the product of two consecutive integers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
The Sine Rule3 marks
In triangle ABC, angle A is 52°, side a is 9 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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