Paper 2
1. Write as a fraction in its simplest form.
2. Write 24.078399
a. correct to 2 d.p
b. correct to the nearest 10
c. correct to 2 s.f
3. a. Write the number 0.000089 in standard form.
b. Write as an ordinary number.
4. The area of a rectangle is 55.2 cm2, correct to 1 decimal place.
The length of the rectangle is 9 cm, correct to the nearest cm.
Calculate the upper bound of the width of the rectangle.
5. Work out
a.
Rearrange the formula to make d the subject.
b. Rearrange to make c the subject.
c.
Rearrange the formula to make w the subject.
6. Simplify
a.
b.
c.
d.
e.
f.
g.
7. Expand and simplify
a. 3(5x – 8) – 2(3x – 7)
b. 2(t + w) + 3(w – t)
8. Factorise
a.
b.
c.
9. Without using a calculator, work out
a.
b.
Give your answer as a mixed number in its simplest form.
10. Work out
a. n(ξ) = 20 n(A) = 12 n(B) = 10
Complete the Venn diagram.
b. The diagram shows information about the number of elements in sets A, B, and ξ.
n(ξ) = 52.
Find n(A) and
11. The temperature at midnight is -4oC.
The temperature at noon is 25oC.
Work out the difference between these two temperatures.
12. W = {students who walk to school}
G = {students who wear glasses}
There are 20 students in a class.
● 8 walk to school
● 3 wear glasses and walk to school
● 2 do not wear glasses and do not walk to school.
Complete the Veen diagram.
13. Solve the simultaneous equations.
a.
b.
14. Find
15. Put one pair of brackets into this calculation to make it correct
16. Work out, giving each answer in standard form
a.
b.
17. Write as a single power of 3 in terms of n.
18. Solve
19. Rationalise the denominators of the following fractions. Simplifying where possible.
a.
b.
20. Find the value of x in each of the following.
a.
b.
21. Solve
a.
b.
c.
d.
e.
22. Solve using formula
23. Estimate the answers to the following.
a.
b.
24. Find the factors and product of prime numbers:
a. 22 b. 50 c. 100
Then find LCM and HCF of 22, 50, and 100
25. Write the numbers in order of magnitude, starting with the largest.
6.06 16% 66.6
