Daily Practice

Higher Plus

21st February 1983

5 questions · 13 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 - b and vector RS = 16a - 4b. 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 36 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A block has mass 810 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 11, 18, 27. Work out the second difference, and the coefficient of n^2.

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