Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th December 2021

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 = 5a - 5b and vector RS = 10a - 10b. 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 42 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 10 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
5
Completing the Square3 marks
Write x^2 + 16x - 1 in the form (x + a)^2 + b.

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