Daily Practice

Higher Plus

10th February 1954

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.
2
The Sine Rule3 marks
In triangle ABC, angle A is 48°, side a is 18 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
5
Bounds3 marks
A rectangle is 14 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of February 1954, including the monthly compilation PDF.