Daily Practice

Higher Plus

27th January 1963

5 questions · 15 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 1.2, one 5 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 72 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Factorising Harder Quadratics3 marks
Solve 12x^2 + x - 6 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out the positive value of x when y = 63.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 5b and vector RS = 8a - 20b. What does this show about PQ and RS?

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