Daily Practice

Higher Plus

30th April 1955

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 64.
2
The Cosine Rule3 marks
A triangle has sides 6 cm, 10 cm and 8 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
5
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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