Daily Practice

Higher Plus

23rd January 1957

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

1
Bounds3 marks
A rectangle is 19 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Write x^2 - 10x + 8 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 3 wins. How many games did they play?

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