Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 14 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
A car covers 870 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Algebraic Fractions3 marks
Simplify (x^2 + 3x - 28)/(x - 4).
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