Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd March 2006

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 = 4a - 2b and vector RS = 16a - 8b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 24 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A rectangle is 12 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.

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