Daily Practice

Higher Plus

8th March 1975

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 340 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 28, 57, 96. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 7 cm with an angle of 140° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 4 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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