Daily Practice

Higher Plus

15th May 1975

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 = 25, y = 40. Work out y when x = 81.
2
The Cosine Rule3 marks
A triangle has sides 22 cm, 14 cm and 13 cm. Work out the angle opposite the 22 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 1/2. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
5
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).

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