Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th July 2013

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

1
Bounds3 marks
A rectangle is 16 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 25.
4
The Sine Rule3 marks
In triangle ABC, angle A is 67°, side a is 15 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 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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