Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th October 2020

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

1
Factorising Harder Quadratics3 marks
Solve 6x^2 - 11x + 3 = 0.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 150.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 5b and vector RS = 20a - 25b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 7 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3.5. 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 October 2020, including the monthly compilation PDF.