Daily Practice

Higher Plus

15th January 1966

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
A car covers 260 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Transforming Graphs y=f(x)3 marks
The point (1, 3) lies on y = f(x). Write down its image on y = f(x) + 3.

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