Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th December 1993

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(75) + sqrt(108), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 24, 44, 72. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs3 marks
A tram runs at 8 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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