Daily Practice

Higher Plus

6th March 1989

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

1
Bounds3 marks
A block has mass 570 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Completing the Square3 marks
Write x^2 - 6x - 15 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the midpoint. Write vector OP in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 15 wins. How many games did they play?

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