Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th September 2020

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 x^3. When x = 2, y = 32. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of c and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 44 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 3.5. How many values are in that class?
5
Bounds3 marks
A rectangle is 15 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.

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 September 2020, including the monthly compilation PDF.