Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st December 2009

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 2b and vector RS = 3a - 6b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 21 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
5
Inverse and Composite Functions3 marks
f(x) = 2x - 4 and g(x) = 2x + 5. Work out fg(4).

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 December 2009, including the monthly compilation PDF.