Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th July 2015

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 1.5, one 25 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 25 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Factorising Harder Quadratics3 marks
Solve 20x^2 + 9x - 20 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 18.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 7 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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