Daily Practice

Higher Plus

16th April 1984

5 questions · 14 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 = 10a - 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 21 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 10-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 640 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Completing the Square3 marks
Write x^2 + 4x + 13 in the form (x + a)^2 + b.

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