Daily Practice

Higher Plus

4th September 1968

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

1
Bounds3 marks
A rectangle is 17 cm by 18 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 0, 10, 28, 54, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 49°, side a is 19 cm and side b is 17 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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