Daily Practice

Higher Plus

8th July 1974

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 4b and vector RS = 18a + 12b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 4 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A block has mass 400 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Completing the Square3 marks
Write x^2 - 10x - 3 in the form (x + a)^2 + b.

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