Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th December 2023

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 = 3a + b and vector RS = 6a + 2b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 9 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A block has mass 480 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x - 12.

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