Daily Practice

Higher Plus

28th January 1953

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 = 108. Work out y when x = 4.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 8 cm and an area of 28.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
4
Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
A rectangle is 22 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.

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