Daily Practice

Higher Plus

18th July 1989

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 = 4, y = 192. Work out y when x = 3.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 10 cm and an area of 64.95 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
4
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).

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