Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th July 2024
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 3b and vector RS = 4a - 12b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 18 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A block has mass 770 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Algebraic Fractions3 marks
Simplify (x^2 + 6x + 5)/(x + 5).
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