Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th November 2000

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 0.4, one 20 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 5 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Transforming Graphs y=f(x)3 marks
The point (6, 5) lies on y = f(x). Write down its image on y = f(x) - 6.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 144.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 3b and vector RS = 16a + 12b. What does this show about PQ and RS?

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