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YEAR 10 MATHLETICS 3RD TERM ROUND

Total questions: 38

Worksheet time: 32mins

Name
Class
Date
1.

Simplify: 3×10d

a)

30 ×d

b)

30d

c)

3 × 10d

d)

all of the above

2.

simplify: 8e + e - 5e

(a)  

3.

Solve: 6g = 42

(a)  

4.

Solve: 24 = 10 + h

(a)  

5.

Expand and simplify: 3x(2x + 3) – x(3x + 5)

a)

6x2 + 8

b)

6x2 +6x + 15

c)

3x2 + 4x

d)

3x2 - 4x

6.

Make t the subject of the formula: p = atd

(a)  

7.

Work out the value of n.

(a)  

8.

Simplify: 3e + 2fe + 5f

(a)  

9.

Solve: 5x – 7 = x + 12

give your answer in decimal.

(a)  

10.

Factorise fully      16 + 12t

(a)  

11.

T = 6p – 4d

Work out the value of T when p = 8 and d = 3

(a)  

12.

T = 6p – 4d

Work out the value of p when T = – 41 and d = 5

(give your answer as a decimal)

(a)  

13.

Solve: 4(x – 3) = 7x + 15

(a)  

14.

The diagram shows the shape ABCDE.

The area of the shape is 91.8 cm2

Work out the value of x
(give your answer to 1 decimal place)

(a)  

15.

A circle has radius 7.5 cm

Work out the area of the circle.
Give your answer correct to 3 significant figures.

(a)  

16.

In Christian's shop

5 chocolate bars cost $5.75

2 chocolate bars and 3 packets of sweets cost $7.85

Work out the cost of one packet of sweets.

(a)  

17.

Change 5.48 centimetres into metres.

Give your answer to 1 significant figure

(a)  

18.

Above triangle is an isosceles triangle ABC.

AC = 5 cm

The perimeter of the triangle is 32 cm.

Work out the length of AB.

(a)  

19.

Write down the coordinates of a Point T which is half - way between Point A and Point B

a)

(2, 1)

b)

(4, 1)

c)

(1, 2)

d)

(-2, 3)

20.

Work out the equation of a straight line CA.

Give your answer in the form ax + by + c = 0

(a)  

21.

James is on holiday in Canada.
The exchange rate is £1 = 1.75 Canadian dollars.

Change £800 into Canadian dollars.

(a)  

22.

James is on holiday in Canada.
The exchange rate is £1 = 1.75 Canadian dollars.

James buys a watch in Canada.

The price of the watch is 98 Canadian dollars.
In England the price of an identical watch is £60

Work out the difference in the prices of the two watches.

Give your answer in pounds (£)

(a)  

23.

The Area of Rectangle B is twice the Area of Rectangle A.

Work out the value of x

Give your answer in decimal

(a)  

24.

Factorise fully: 15y4 + 20uy3

a)

5(3y4 + 4uy3)

b)

5y(y3 + 4uy2)

c)

y2(3y3 + 20uy)

d)

5y3 (3y + 4u)

25.

The cost of 16 sandwiches of the same type is 28 euros.

Work out the cost of 27 of these sandwiches.

(a)  

26.

A = 23 × 32 × 52 × 11
B = 24 × 3 × 54 × 13

Find the lowest common multiple (LCM) of A and B.
Give your answer as a whole number in expanded form.

(a)  

27.

Here are the first 4 terms of an arithmetic sequence.

85          79          73          67

Find an expression, in terms of n, for the nth term of the sequence.

(a)  

28.

Mr. Tesfa buys 12 bottles of apple juice for a total cost of $21
Mr. Tesfa sells all 12 bottles at $2.45 each bottle.

Work out Mr. Tesfa's percentage profit.

(a)  

29.

Zhi bought a house on 1st January 2020
When she bought the house, its value was 120 000 yuan.

The value of the house increased by 1.8% per year.

Work out the value of Zhi's house on 1st January 2023
        Give your answer correct to 3 significant figures.

(a)  

30.

Here is a right - angled triangle

Calculate the value of h.

Give your answer correct to 3 significant figures.

(a)  

31.

ξ = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29

A = odd numbers
B = multiples of 3

List the members of the set A ∩ B

(a)  

32.

ξ = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29

A = odd numbers
B = multiples of 3

List the members of the set A ∪ B

(a)  

33.

Solve the simultaneous equations

5a + 2c = 10
2a – 4c = 7

(express your answer in the form a= ........ and c= ......, and in decimal)

(a)  

34.

The triangle is a right - angled triangle.

Work out the value of x.
Give your answer correct to one decimal place.

(a)  

35.

Write 2.5 × 10–4 as an ordinary number.

(a)  

36.

Triangle ABC is an Isosceles triangle.

D is the midpoint of AC and DB = 16 cm.

Angle DAB = 65°

Work out the perimeter of triangle ABC.
Give your answer correct to one decimal place.

(a)  

37.

Factorise: x2 – 5x – 36

(a)  

38.

c = a/b

Given that

a = 2.3 ± 0.1

b = 4.5 ± 0.5

Work out the lower bound of c

(a)