Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th April 2011

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

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 4b and vector RS = 10a + 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 9 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Bounds3 marks
A block has mass 560 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Inverse and Composite Functions3 marks
f(x) = 6x + 5 and g(x) = 4x + 2. Work out fg(6).

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 April 2011, including the monthly compilation PDF.