Daily Practice

Higher Plus

3rd September 1986

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 + 3b and vector RS = 12a + 9b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 60 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A rectangle is 15 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 (3x(n) + 8) with x(0) = 1. Work out x(1) to 3 decimal places.

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