Daily Practice · Higher Plus

Daily Practice - Higher Plus

1st August 1996

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
3
Factorising Harder Quadratics3 marks
Solve 4x^2 + 3x - 1 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 288.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 2b and vector RS = 4a + 8b. What does this show about PQ and RS?

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