Daily Practice

Higher Plus

11th February 1990

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

1
Bounds3 marks
x = 124 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 4x^2 - 12x + 9 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
4
The Sine Rule3 marks
In triangle ABC, angle A is 50°, side a is 16 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 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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