Daily Practice

Higher Plus

10th November 1985

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

1
Bounds3 marks
x = 152 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 - 36)/(x - 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 15 cm with an angle of 119° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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