Daily Practice

Higher Plus

9th November 1977

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 1.5, one 20 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 11 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Write 2/(x + 6) + 4/(x + 5) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 32.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 2b and vector RS = 12a - 6b. What does this show about PQ and RS?

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