Daily Practice

Higher Plus

15th October 1959

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 25 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 16, 31, 50, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 294.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 4b and vector RS = 9a + 12b. What does this show about PQ and RS?

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