Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th December 1996

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

1
Bounds3 marks
A block has mass 200 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
Completing the Square3 marks
Write x^2 + 12x - 12 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 8 cm and 11 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.

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