Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th March 1998

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 20x^2 + 17x + 3 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 40 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 March 1998, including the monthly compilation PDF.