Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th July 1996

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

1
Bounds3 marks
A block has mass 420 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 8x^2 - 6x - 9 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 16 cm with an angle of 74° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 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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