Daily Practice

Higher Plus

6th September 1986

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

1
Bounds3 marks
A car covers 830 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
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 5.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 5 cm with an angle of 95° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 3 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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