Daily Practice

Higher Plus

27th April 1967

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 = 9. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides 13 cm, 14 cm and 10 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
5
Surds3 marks
Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).

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