Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

27th July 1997

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 2, one 20 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 173 and y = 150, each correct to the nearest whole number. Work out the upper bound of x - y.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 4, 22, 50, 88. 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 = 81. Work out the positive value of x when y = 81.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 2b and vector RS = 18a + 6b. What does this show about PQ and RS?

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