Daily Practice

Higher Plus

31st March 1987

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 x^3. When x = 2, y = 40. Work out y when x = 4.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 12 cm and an area of 25.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).

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