Daily Practice

Higher Plus

28th January 1987

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

1
Bounds3 marks
A rectangle is 13 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 47°, side a is 12 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 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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