Daily Practice

Higher Plus

27th February 1957

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 8 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 405.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 6b and vector RS = 4a - 24b. What does this show about PQ and RS?

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