Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

29th January 2019

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

1
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 2 = y(x + 2).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 150.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 13 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.8. 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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of January 2019, including the monthly compilation PDF.