Daily Practice

Higher Plus

6th May 1980

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 = 3, y = 135. Work out y when x = 5.
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 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
4
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).

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