Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th October 2017

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 - 5b and vector RS = 5a - 25b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 15 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
5
Completing the Square3 marks
Write x^2 + 6x - 2 in the form (x + a)^2 + b.

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 2017, including the monthly compilation PDF.