Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd December 2022
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 5b and vector RS = 16a + 20b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.
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