Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th December 1995

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
3
Completing the Square3 marks
Write x^2 + 10x + 5 in the form (x + a)^2 + b.
4
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 = 320.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 4b and vector RS = 12a - 12b. What does this show about PQ and RS?

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