Daily Practice

Higher Plus

20th January 1989

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 = 4a + b and vector RS = 12a + 3b. 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 30 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x + 12.

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