Daily Practice

Higher Plus

11th July 1990

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

1
Bounds3 marks
A rectangle is 18 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 64.
4
The Sine Rule3 marks
In triangle ABC, angle A is 60°, side a is 12 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 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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