Daily Practice

Higher Plus

9th December 1968

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

1
Bounds3 marks
A block has mass 330 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 15 cm with an angle of 37° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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