Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th September 2002

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 2.5, one 20 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 29 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 8 = y(x + 8).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 16.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 4 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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