Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th November 2012

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

1
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 35)/(x + 7).
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 = 405.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 3b and vector RS = 10a + 15b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 40 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 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 November 2012, including the monthly compilation PDF.