Daily Practice

Higher Plus

2nd January 1961

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

1
Bounds3 marks
A block has mass 280 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.
2
Algebraic Fractions3 marks
Simplify (x^2 + 12x + 32)/(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 18 wins. How many games did they play?

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