Daily Practice

Higher Plus

18th January 1955

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 = 54. Work out y when x = 4.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 9 cm and an area of 72.00 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) = 1/21. Work out r.
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).

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