Daily Practice

Higher Plus

28th January 1973

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 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 32 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 21 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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