Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

29th October 2009

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 27^(2/3).
2
Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 2, and write down where the curve crosses the y-axis.
3
Repeated Percentage Change3 marks
A town's population is 15500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
4
Vectors3 marks
a is the column vector (-3, 4) and b is (-1, -5). Work out 3a - 5b as a column vector.
5
Probability Trees3 marks
2 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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