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, one 25 units wide with density 3. How many values in total?
- 2Bounds3 marks
x = 88 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Algebraic Fractions3 marks
Simplify (x^2 - x - 12)/(x + 3).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 200.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 8 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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