Daily Practice

Higher Plus

20th August 1955

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

1
Bounds3 marks
A car covers 290 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 6, 11, 18, 27. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 5 cm with an angle of 43° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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