Daily Practice

Higher Plus

16th September 1967

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

1
Bounds3 marks
A car covers 160 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Algebraic Fractions3 marks
Simplify (x^2 - x - 20)/(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 14 cm with an angle of 27° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 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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