Daily Practice · Higher

Daily Practice - Higher

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

30th June 2023

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

1
Reverse Percentages3 marks
A bill is £288 including VAT at 20%. Work out the amount before VAT.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 6^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 40. Work out y when x = 11.
4
Vectors3 marks
a is the column vector (-6, -3) and b is (-1, -1). Work out 4a - 3b as a column vector.
5
Probability Trees3 marks
5 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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