Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th November 1997

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 = 6a - 5b and vector RS = 12a - 10b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 3 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.

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