Daily Practice

Higher Plus

3rd February 1972

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).
3
Transforming Graphs y=f(x)3 marks
The point (1, -2) lies on y = f(x). Write down its image on y = -f(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 24 m/s over 8 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 the three angles of triangle OAB are being summed. State the reason being quoted.

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