Daily Practice

Higher Plus

3rd October 1984

5 questions · 15 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 0.4, one 5 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A rectangle is 27 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Write x^2 + 14x - 5 in the form (x + a)^2 + b.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 648.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - b and vector RS = 25a - 5b. What does this show about PQ and RS?

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