Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st February 2021
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 6b and vector RS = 5a + 30b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 10 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Inverse and Composite Functions3 marks
f(x) = 4x - 7 and g(x) = 2x + 4. Work out fg(-1).
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