Daily Practice

Higher Plus

3rd October 1971

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 = 4, y = 8. Work out y when x = 25.
2
The Cosine Rule3 marks
A triangle has sides 20 cm, 7 cm and 16 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
5
Bounds3 marks
x = 36 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.

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