Daily Practice

Higher Plus

10th April 1978

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

1
Algebraic Fractions3 marks
Simplify (x^2 + 14x + 48)/(x + 6).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 162.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?

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 April 1978, including the monthly compilation PDF.