Daily Practice

Higher Plus

10th November 1990

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 = 2.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 14 cm and an area of 31.50 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) = 14/33. Work out r.
4
Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
A car covers 650 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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