Daily Practice

Higher Plus

9th March 1978

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 0.4, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 192.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 6b and vector RS = 25a + 30b. What does this show about PQ and RS?

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