Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st January 2022

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

1
Completing the Square3 marks
Write x^2 + 10x - 8 in the form (x + a)^2 + b.
2
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
5
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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