Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th June 2017

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 sqrt(x). When x = 4, y = 14. Work out y when x = 16.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).

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 June 2017, including the monthly compilation PDF.