Daily Practice · Higher

Daily Practice - Higher

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

17th August 2023

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices2 marks
Write 4^-2 as a fraction.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
3
Repeated Percentage Change3 marks
A town's population is 14000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
4
Vectors3 marks
a is the column vector (-3, 6) and b is (-1, -2). Work out 3a - 2b as a column vector.
5
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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