Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st August 2003

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

1
Quadratic Inequalities3 marks
Solve x^2 + 9x + 8 < 0.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 45.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 9 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 3. 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 August 2003, including the monthly compilation PDF.