Daily Practice

Higher Plus

22nd January 1964

5 questions · 14 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 1.5, one 10 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 19 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 22, 42, 70. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out the positive value of x when y = 28.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + b and vector RS = 4a + 4b. What does this show about PQ and RS?

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