Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th March 2024

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 17 m/s over 5 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 1/2. A player expects 32 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?

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