Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th April 2014
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A car covers 630 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Transforming Graphs y=f(x)3 marks
The point (6, -2) lies on y = f(x). Write down its image on y = f(x - 2).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 50.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 15 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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