Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd April 2023

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 12 m/s over 4 seconds. Work out the acceleration.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - b and vector RS = 6a - 3b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 40 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?

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 April 2023, including the monthly compilation PDF.