Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th April 2023

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of q and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 22 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(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 April 2023, including the monthly compilation PDF.