Daily Practice

Higher Plus

23rd March 1988

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 29 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 17, 39, 69, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 81.
4
The Sine Rule3 marks
In triangle ABC, angle A is 44°, side a is 12 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 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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