Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th June 2016

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 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 9 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Transforming Graphs y=f(x)3 marks
The point (3, -6) lies on y = f(x). Write down its image on y = f(x) - 6.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 324.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 8 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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