Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th September 2013

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

1
Completing the Square3 marks
Write x^2 - 8x + 8 in the form (x + a)^2 + b.
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 27 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
5
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?

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