Daily Practice

Higher Plus

6th September 1971

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A block has mass 380 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 6 in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 324.
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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