Daily Practice

Higher Plus

28th August 1984

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
3
Transforming Graphs y=f(x)3 marks
The point (0, 5) lies on y = f(x). Write down its image on y = -f(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 9 m/s over 4 seconds. Work out the acceleration.
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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