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L7 - Maths - Core Paper 2023 (SMC)

Total questions: 42

Worksheet time: 24mins

Name
Class
Date
1.

What is the cost of a kilo of oranges?

a)

€2.00

b)

€1.00

c)

€3.50

d)

€4.00

e)

€2.75

2.

A packet contains 1.5kg of oats. Every day Mary uses 50g of oats to make porridge. After how many days will her packet of oats finish?

a)

30 days

b)

15 days

c)

50 days

d)

45 days

3.

If she adds 0.03kg of strawberries to her bowl of oats, what is the total weight of her daily breakfast?

a)

0.08kg

b)

0.07kg

c)

0.10kg

d)

0.05kg

4.

Find the number that is one hundred thousand less than six billion. Write your answer in words.

a)

Five billion, nine hundred ninety-nine million, nine hundred thousand

b)

Five billion, nine hundred ninety-nine million, nine hundred thousand, one hundred

c)

Five billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand

d)

Six billion, one hundred thousand

5.

This is a picture of Stefan’s watch. The watch is 12 minutes fast. What is the correct time?

a)

2:48

b)

2:36

c)

3:00

d)

2:54

6.

This is a picture of Stefan’s watch. The watch is 12 minutes fast. If this time is in the evening, what is the time in 24-hour clock?

a)

14:48

b)

14:36

c)

15:00

d)

13:48

7.

Which city was 3 degrees warmer than Berlin?

a)

Paris

b)

London

c)

Rome

d)

Madrid

8.

What was the difference between the temperature in Rome and the temperature in Kiev?

a)

8°C

b)

2°C

c)

12°C

d)

5°C

9.

Use your calculator to work out the following, give your answer to 3 decimal places. (4.53+350)/(853+12.63)(4.5^3 + \sqrt{350}) / (\sqrt[3]{85} + 12.6^3)

a)

0.130

b)

0.215

c)

0.089

d)

0.301

10.

Solve these equations: a) 7x + 53 = 501

a)

x = 64

b)

x = 70

c)

x = 60

d)

x = 56

11.

Solve these equations: b) 145 - 6y = 40 - 21y

a)

y = 7

b)

y = -7

c)

y = 5

d)

y = 3

12.

Simplify the following expressions: 12rh - 14s - 17h - 9rh + 20s - 13h

a)

3rh + 6s - 30h

b)

21rh + 34s - 4h

c)

-3rh + 6s + 30h

d)

3rh - 6s - 30h

13.

Written as a product of its prime factors 717,409 = 72x1147^2 x 11^4 . Hence, showing all your working, find the square root of 717,409.

a)

847

b)

777

c)

911

d)

121

14.

Factorise the following expression: 24g - 36k + 60i

a)

12(2g - 3k + 5i)

b)

6(4g - 6k + 10i)

c)

3(8g - 12k + 20i)

d)

24(g - 1.5k + 2.5i)

15.

INPUT | OUTPUT 4 | ______ ______| 35 -3 | ______ ______| -25

a)

INPUT | OUTPUT 4 | 23 7 | 35 -3 | -5 -8 | -25

b)

INPUT | OUTPUT 4 | 20 10 | 35 -3 | -10 -15 | -25

c)

INPUT | OUTPUT 4 | 15 8 | 35 -3 | -7 -12 | -25

d)

INPUT | OUTPUT 4 | 18 5 | 35 -3 | -8 -17 | -25

16.

a) m and C stand for:

a)

m stands for mass and C stands for specific heat capacity.

b)

m stands for momentum and C stands for capacitance.

c)

m stands for meter and C stands for coulomb.

d)

m stands for mole and C stands for concentration.

17.

Use your formula to find how much a bag with 12 muffins costs.

a)

C = 20 × 12 + 15 = 240 + 15 = 255c (or €2.55)

b)

C = 12 × 15 + 20 = 180 + 20 = 200c (or €2.00)

c)

C = 12 × 20 + 12 = 240 + 12 = 252c (or €2.52)

d)

C = 20 × 15 + 12 = 300 + 12 = 312c (or €3.12)

18.

A client buys a bag of muffins for €1.75. How many muffins did he buy?

a)

8

b)

5

c)

10

d)

12

19.

14. The vertices of a polygon have these coordinates: A(-5,1), B(-3,-3), C(-1,-2), D(0,3), E(-3,3). What is the name of the polygon formed by joining these points in the order listed?

a)

Pentagon

b)

Hexagon

c)

Quadrilateral

d)

Triangle

20.

What is the name of the resulting polygon?

a)

Pentagon

b)

Hexagon

c)

Triangle

d)

Octagon

21.

I think of a number n, multiply it by 8 and add 40. If the answer is 96, what is the number I thought of?

a)

7

b)

6

c)

8

d)

5

22.

Seven children measured their heights. The heights (in cm) are: Stefan 144, Lara 136, Olivia 142, Chen 143, Maria 152, Dev 148, Sarah 150. Calculate the median height of children.

a)

144

b)

143

c)

148

d)

142

23.

Seven children measured their heights. The heights (in cm) are: Stefan 144, Lara 136, Olivia 142, Chen 143, Maria 152, Dev 148, Sarah 150. Calculate the mean height of the children.

a)

145

b)

143

c)

147

d)

149

24.

Seven children measured their heights. The heights (in cm) are: Stefan 144, Lara 136, Olivia 142, Chen 143, Maria 152, Dev 148, Sarah 150. What is the range of their heights.

a)

16

b)

12

c)

18

d)

20

25.

The shaded isosceles triangle is drawn inside a rectangle. Calculate the size of angles a and b, giving reasons for your answers.

a)

a = 38°, b = 76°

b)

a = 45°, b = 90°

c)

a = 60°, b = 60°

d)

a = 30°, b = 120°

26.

Work out the following showing your working step by step: 5 - 333^3 + 613\sqrt[3]{61} + 828^2

a)

45.936

b)

53.217

c)

38.002

d)

41.500

27.

The diagram shows a rhombus PQRS, with diagonals PR and QS. The ratio of the sides of the rhombus to the diagonal PR is 12:13. If diagonal PR is 52 cm, what is the perimeter of the rhombus?

a)

192 cm

b)

156 cm

c)

208 cm

d)

180 cm

28.

On Saturday Julia read 2/5 of her book. On Sunday she read the remaining 90 pages to finish the book. How many pages were there in Julia’s book?

a)

150 pages

b)

120 pages

c)

180 pages

d)

200 pages

29.

Drawing the reflections in each line of symmetry is called:

a)

Reflecting shapes

b)

Rotating shapes

c)

Translating shapes

d)

Enlarging shapes

30.

What is the rotational symmetry of this shape?

a)

6

b)

2

c)

3

d)

4

31.

The triangle in the diagram has interior angles, 4x + 29°, 5x + 11° and 2x – 3°.

a)

4x + 29° + 5x + 11° + 2x – 3° = 180°

b)

4x + 29° + 5x + 11° + 2x – 3° = 90°

c)

4x + 29° + 5x + 11° + 2x – 3° = 360°

d)

4x + 29° + 5x + 11° + 2x – 3° = 270°

32.

The triangle in the diagram has interior angles, 4x + 29°, 5x + 11° and 2x – 3°. Use your equation to find the value of x.

a)

x = 15

b)

x = 12

c)

x = 18

d)

x = 10

33.

The triangle in the diagram has interior angles, 4x + 29°, 5x + 11° and 2x – 3°. Using the value of x found in b), calculate angle y giving a reason for your answer.

a)

y = 180° – (4x + 29° + 5x + 11° + 2x – 3°) = 0° (since the sum of interior angles of a triangle is 180°; y is the exterior angle, so y = 180° – (angle at that vertex))

b)

y = 90° (since the sum of the two smallest angles in a triangle is always 90°)

c)

y = 360° – (4x + 29° + 5x + 11° + 2x – 3°) (since the sum of angles around a point is 360°)

d)

y = (4x + 29°) + (5x + 11°) (since y is the sum of two angles in the triangle)

34.

Construct triangle ABC such that AB = 5.6cm, BC = 4.8cm and angle ABC = 70°. What is the length of AC?

a)

5.2 cm

b)

6.0 cm

c)

4.0 cm

d)

3.5 cm

35.

the angle for Plain crisps flavour.

a)

115 degrees

b)

90 degrees

c)

60 degrees

d)

150 degrees

36.

Chicken crisps flavour. (No. of Students: 16, Total: 144) Angle = ________ degrees

a)

40 degrees

b)

20 degrees

c)

80 degrees

d)

16 degrees

37.

Salt and Vinegar crisps flavour. (No. of Students: 22, Total: 144) Angle = ________ degrees

a)

55 degrees

b)

30 degrees

c)

90 degrees

d)

120 degrees

38.

the angle for Cheese and Onion crisps flavour. (No. of Students: 26, Total: 144) Angle = ________ degrees

a)

65 degrees

b)

45 degrees

c)

90 degrees

d)

120 degrees

39.

for Smokey Bacon crisps flavour. (No. of Students: 34, Total: 144) Angle = ________ degrees

a)

85 degrees

b)

60 degrees

c)

45 degrees

d)

120 degrees

40.

What fraction of the students prefer plain and smokey bacon crisps?

a)

40/72 or 20/36 or 10/18 or 5/9

b)

30/72 or 15/36 or 5/12 or 1/3

c)

25/72 or 10/36 or 5/18 or 2/9

d)

50/72 or 25/36 or 5/8 or 7/9

41.

What percentage of the students prefer chicken crisps?

a)

11.1%

b)

25%

c)

33.3%

d)

50%

42.

Refer to pic

4 lines