Daily Practice

Higher Plus

14th August 1986

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Completing the Square3 marks
Write x^2 - 2x - 11 in the form (x + a)^2 + b.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 80.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 6b and vector RS = 24a - 24b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 7 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?

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