Daily Practice

Higher Plus

30th June 1987

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 = 6a - 2b and vector RS = 12a - 4b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 54 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
5
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.

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