Daily Practice

Higher Plus

21st January 1987

5 questions · 15 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 5 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 17 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 7 = y(x + 7).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 28.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 5b and vector RS = 4a - 10b. What does this show about PQ and RS?

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