Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd December 2022

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

1
Completing the Square3 marks
Write x^2 - 12x + 7 in the form (x + a)^2 + b.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 18 m/s over 8 seconds. Work out the acceleration.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 4b and vector RS = 30a + 20b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 14 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?

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