Daily Practice

Higher Plus

19th February 1984

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

1
Bounds3 marks
x = 79 and y = 41, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 + 9x + 20 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 17 cm with an angle of 125° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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