Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
- 3Transforming Graphs y=f(x)3 marks
The point (-3, -2) lies on y = f(x). Write down its image on y = f(x + 6).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 128.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 8 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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