Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th January 2021

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

1
Bounds3 marks
x = 49 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 - 36)/(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 64 wins. How many games did they play?

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 January 2021, including the monthly compilation PDF.