Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st July 2020

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

1
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
2
Factorising Harder Quadratics3 marks
Solve 3x^2 + 11x + 10 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 8 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 July 2020, including the monthly compilation PDF.