Daily Practice

Higher Plus

6th January 1967

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 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 729.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 2b and vector RS = 12a + 6b. What does this show about PQ and RS?

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