Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

8th March 2020

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 5b and vector RS = 12a + 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 27 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?
4
Bounds3 marks
x = 117 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.

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