Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd September 2005

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

1
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 8 = y(x + 8).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 216.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 6b and vector RS = 20a - 24b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 18 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, 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 September 2005, including the monthly compilation PDF.