Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

15th June 2005

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 2, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 6 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 18)/(x - 3).
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 = 72.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 3b and vector RS = 12a - 12b. What does this show about PQ and RS?

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