Daily Practice · Higher

Daily Practice - Higher

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

9th December 2024

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

1
Reverse Percentages3 marks
A bill is £672 including VAT at 20%. Work out the amount before VAT.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
4
Vectors3 marks
a is the column vector (3, 0) and b is (0, 1). Work out 4a - 5b as a column vector.
5
Probability Trees3 marks
5 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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