Daily Practice

Higher Plus

22nd February 1988

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

1
Bounds3 marks
A block has mass 630 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 6/(x + 4) + 6/(x - 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
The Sine Rule3 marks
In triangle ABC, angle A is 67°, side a is 9 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 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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