Daily Practice

Higher Plus

31st December 1964

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

1
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 11, 21, 33, ...
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 252.
3
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.
4
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?

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