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Worksheets

y7 - half term 3

Total questions: 35

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

 354 +671354\ +671  

(a)  

2.

 721298721-298  

(a)  

3.

 17×68-17\times68  

(a)  

4.

 392÷7-392\div-7  

(a)  

5.

What is the probability of rolling a 1 or a 2 on a fair 6 sided die?

(a)  

6.

If I roll a biased die 300 times and it lands on 6 57 times, what is the relative frequency of it landing on a 6?

(a)  

7.

What is the HCF and LCM of 28 and 40?

a)

HCF = 4 and LCM = 280

b)

LCM = 4 and HCF = 280

c)

HCF = 8 and LCM = 70

d)

HCF = 4 and LCM = 70

8.

What is 90 as a product of its prime factors (in index form)

a)

 2 ×5×92\ \times5\times9  

b)

 2×32×52\times3^2\times5  

c)

 33×53^3\times5  

d)

 2 ×2×3×3×52\ \times2\times3\times3\times5  

9.

Simplify this fraction fully

 756\frac{7}{56}  



(a)  

10.

Which fraction is bigger

 34 or 56\frac{3}{4}\ or\ \frac{5}{6}  



(a)  

11.

Work out

 5825\frac{5}{8}-\frac{2}{5}  



(a)  

12.

Work out

 59+14\frac{5}{9}+\frac{1}{4}  



(a)  

13.

Work out

 2131 342\frac{1}{3}-1\ \frac{3}{4}  



(a)  

14.

 6186-18  

(a)  

15.

 5×85\times-8  

(a)  

16.

 36÷6-36\div-6  

(a)  

17.

 6×3(4)6\times3-\left(-4\right)  

(a)  

18.

At midnight, the temperature in Belfast was −2°C

At 9am, the temperature was 5°C

By how many degrees did the temperature rise?

a)

7

b)

2

c)

5

d)

12

19.

Collect like terms

 3x + 4x + 5y  3y3x\ +\ 4x\ +\ 5y\ -\ 3y  

a)

 7x +8y7x\ +8y  

b)

 9xy9xy  

c)

 7x +2y7x\ +2y  

d)

 15xy15xy  

20.

Expand the brackets

 3(4x+7)3\left(4x+7\right)  

a)

 7x + 107x\ +\ 10  

b)

 12x+2112x+21  

c)

 33x33x  

d)

 347x347x  

21.

Expand and simplify

 10(x+9)4(x+9)10\left(x+9\right)-4\left(x+9\right)  

a)

 14x+5414x+54  

b)

 6x+1366x+136  

c)

 14x+13614x+136  

d)

 6x+546x+54  

22.

Factorise fully

 3x+123x+12  

a)

 3(x+4)3\left(x+4\right)  

b)

 3x(1+4)3x\left(1+4\right)  

c)

 (3x+12)\left(3x+12\right)  

d)

 x(3+12)x\left(3+12\right)  

23.

Factorise fully

 10x2 +15x10x^{2\ }+15x  

a)

 5(2x2+3x)5\left(2x^2+3x\right)  

b)

 x(10x+15)x\left(10x+15\right)  

c)

 10x(1+2)10x\left(1+2\right)  

d)

 5x(2x+3)5x\left(2x+3\right)  

24.

If x = 3 what is y?

 y=3xy=3x  



(a)  

25.

If a = 4, b = 3. What is y?

 y=5a2by=5a-2b  



(a)  

26.

What is the missing number in this arithmetic sequence?

3,      , 17, 24,



(a)  

27.

What is the next term in this geometric sequence?

2, 4, 8, 16, (a)  

28.

What is the next term in this Fibonacci sequence?

2, 6, 8, 14, (a)  

29.

What is the next term in this fibonacci sequence?

 a+b, 2a+b,+3a+2b,......a+b,\ 2a+b,+3a+2b, (a)     

30.

What is the next term in this Fibonacci Sequence? Write your answer as an improper fraction.

 12, 27, 1114,.....\frac{1}{2},\ \frac{2}{7},\ \frac{11}{14}, (a)     

31.

 4×1204\times\frac{1}{20}  

(a)  

32.

 135×15161\frac{3}{5}\times\frac{15}{16}  

(a)  

33.

 115÷79\frac{1}{15}\div\frac{7}{9}  

(a)  

34.


 3924× 49 × 1463\frac{9}{24}×\ \frac{4}{9}\ ​×\ 1\frac{4}{6}​  



(a)  

35.

a)

4 3/8 sq ft

b)

4 1/2 sq ft

c)

3 3/8 sq ft

d)

4 5/8 sq ft