Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th October 2001

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 0.4, one 25 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 25 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Inequalities3 marks
Solve x^2 - 3x + 2 < 0.
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 = 512.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 10 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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