Daily Practice

Higher Plus

22nd August 1957

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

1
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 7 = y(x + 7).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 200.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 9 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 1.4. 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 August 1957, including the monthly compilation PDF.