Daily Practice

Higher Plus

3rd January 1970

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

1
Bounds3 marks
A car covers 560 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 15x^2 - 19x - 10 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 12 cm with an angle of 93° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 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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