Daily Practice

Higher Plus

12th January 1987

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 11 cm, 12 cm and 6 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
5
Bounds3 marks
A block has mass 270 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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