Daily Practice

Higher Plus

19th June 1989

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 = 2a - 4b and vector RS = 4a - 8b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 5 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 5 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A block has mass 520 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 1) with x(0) = 4. Work out x(1) to 3 decimal places.

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