Core Maths 21

Core Maths 21

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Question 1 of 20

1. Question
Express 75882 to three significant figures.
- 759
- 7590
- 75900
- 759000
Correct

Incorrect
Question 2 of 20

2. Question
Multiply $6.4\times10^{-2}$ by $8.5\times10^4$ and leave your answer in standard form
- $5.44 x 10^2$
- $5.44 x 10^3$
- $5.44 x 10^1$
- $5.44 x 10^{-3}$
Correct

Incorrect
Question 3 of 20

3. Question
Express 0.000344 in a standard form
- $3.44 x 10^{-2}$
- $3.44 x 10^{-3}$
- $3.44 x 10^{-4}$
- $3.44 x 10^{-6}$
Correct

Incorrect
Question 4 of 20

4. Question
Calculate 83 x 98, giving you answer in standard form.
- $8.134 x 10^{-4}$
- $8.134 x 10^{-3}$
- $8.134 x 10^{3}$
- $8.134 x 10^{4}$
Correct

Incorrect
Question 5 of 20

5. Question
If $\frac{3\times10^4}{8\times10^{-2}}=3.75\times10^n$ , what is the value of n?
- 1
- 2
- 5
- 6
Correct

Incorrect
Question 6 of 20

6. Question
Express $\frac{3\frac{1}{3}-2\frac{1}{2}}{\frac{5}{12}}$ in its simplest form.
- ½
- $\frac{25}{72}$
- 2
- $2\frac{4}{5}$
Correct

Incorrect
Question 7 of 20

7. Question
Express 0.315 as a fraction in its lowest term.
- ${\frac{63}{20}}$
- $\frac{63}{200}$
- ${\frac{36}{200}}$
- $\frac{31}{200}$
Correct

Incorrect
Question 8 of 20

8. Question
Write 1.02616, correct to 3 significant figures.
- 1.03
- 1.02
- 1.026
- 1.0262
Correct

Incorrect
Question 9 of 20

9. Question
Evaluate $1\frac{2}{3}-\left(1\frac{3}{4}\div2\frac{5}{8}\right)$
- 2
- 1
- $\frac{2}{3}$
- $\frac{1}{3}$
Correct

Incorrect
Question 10 of 20

10. Question
Simplify $18\left[\left(\frac{1}{3}\right)^2-\frac{1}{6}\right]^2$
- 0
- $\frac{1}{18}$
- ½
- $1\frac{1}{2}$
Correct

Incorrect
Question 11 of 20

11. Question
Evaluate $\frac{3\frac{1}{4}\times1\frac{3}{5}}{11\frac{1}{3}-5\frac{1}{3}}$
- $\frac{14}{15}$
- ${\frac{13}{15}}$
- $\frac{4}{5}$
- $\frac{11}{15}$
Correct

Incorrect
Question 12 of 20

12. Question
Simplify $\frac{1}{8}\left(3\frac{1}{4}-4\frac{2}{3}+2\frac{1}{6}\right)\div3\frac{3}{4}$
- $\frac{1}{40}$
- $\frac{2}{15}$
- $\frac{4}{15}$
- $2\frac{13}{40}$
Correct

Incorrect
Question 13 of 20

13. Question
Simplify $\frac{4-x^2}{2x-x^2},where_x\neq0_and_x\neq2$
- $\frac{2-x}{x}$
- $\frac{2+x}{x}$
- $\frac{2}{x}$
- $\frac{x-2}{x}$
Correct

Incorrect
Question 14 of 20

14. Question
Factorize the expression $5x^2+13x-6$
- (5x+3)(x-2)
- (5x-2)(x+3)
- (5x-3)(x+2)
- (5x+2)(x-3)
Correct

Incorrect
Question 15 of 20

15. Question
Evaluate 61.5² – 38.5²
- 529
- 2300
- 2400
- 3300
Correct

Incorrect
Question 16 of 20

16. Question
Express, correct to three significant figures, 0.003597.
- 0.00359
- 0.00360
- 0.00400
- 0.359
Correct

Incorrect
Question 17 of 20

17. Question
Solve $\frac{y+1}{2}-\frac{2y-1}{3}=4$
- y = 29
- y= – 29
- y = -19
- y = 19
Correct

Incorrect
Question 18 of 20

18. Question
Evaluate $\frac{{log}_3{-}{log}_2{8}}{{log}_3{9}}$
- – ½
- 1/3
- ½
- -3/2
Correct

Incorrect
Question 19 of 20

19. Question
If m:n = 2:1, evaluate $\frac{3m^2-2n}{m^2-mn}$ .
- 5
- 6
- 7
- 8
Correct

Incorrect
Question 20 of 20

20. Question
Factorize completely: (2x + 2y)(x y) + (2x 2y)(x + y)
- 2(x-y)
- 2(x-y)(x+y)
- 4(x-y)
- 4(xy)(x+y)
Correct

Incorrect

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