Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th May 1993

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 = 64. Work out y when x = 4.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 11 cm and an area of 76.21 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.

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