Daily Practice

Higher Plus

28th August 1968

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 1.2, one 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A rectangle is 7 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Factorising Harder Quadratics3 marks
Solve 9x^2 - 6x - 8 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 144.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 20a + 20b. What does this show about PQ and RS?

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