Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st February 2024

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 + 12x + 9 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 10 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 February 2024, including the monthly compilation PDF.