Daily Practice

Higher Plus

12th May 1974

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

1
Bounds3 marks
x = 104 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 + 7x + 12 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 12 cm with an angle of 95° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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