Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th December 1993

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 1.5, one 10 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 30 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Inequalities3 marks
Solve x^2 + 5x + 6 > 0.
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 = 63.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 2b and vector RS = 24a - 8b. What does this show about PQ and RS?

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