Daily Practice

Higher Plus

6th February 1991

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

1
Bounds3 marks
A rectangle is 23 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 11, 19, 31. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
4
The Sine Rule3 marks
In triangle ABC, angle A is 39°, side a is 16 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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