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Worked solutions available from LondonScienceTutors.com/CommonEntrance Worksheet No. 151201

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13+ Maths Non-Calculator

Total Marks: /22 Date: 1. Kerry has 325 beads. Sharon has 165 beads.

Kerry gives Sharon some beads. They now have the same number of beads. How many beads does Kerry give Sharon? Total number of beads: 325 + 165 = 490 The number of beads they have at end: 490 ÷ 2 = 245 Therefore Kay must give Sharon 325 – 245 = 80 beads

Answer: 80 (3) 2. (a) The numbers in this sequence decrease by the same amount each

time. 74, …… , 58, 50 , 42 …… What are the two missing numbers?

58 – 50 = 8, therefore the number goes down by 8 each time. 74 – 8 = 66 42 – 8 = 34

Answer: 66 and 34 (2) (b) The numbers in this different sequence decrease by the same amount

each time. 26 …… ,…… ,…… 6 What are the three missing numbers? (26 – 6) ÷ 4 = 20 ÷ 4 = 5 26 – 5 =21 21 – 5 = 16 16 – 5 = 11 11 – 5 = 6

Answer: 21, 16, 11 (2)

3. (a) Solve 3a + 7 = 12 Give your answer as a mixed fraction.

a = (12 – 7 )÷ 3 = 5 ÷ 3 =

5

312

3

Answer:

12

3

(2)

(b) Solve

x

5 6

x = -6 x 5 = -30

Answer: -30 (1)

(c) Solve 5c + 4 = 19

5c = 19 – 4 c = 15 ÷ 5 = 3

Answer: 3 (2) (d) Factorise fully 4t – 20

4 (t – 5)

Answer: 4(t – 5) (1)

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4. Two teachers and 18 students go to the theatre.

The cost of a student’s ticket is half of the cost of a teacher’s ticket. The total cost of the tickets is £132. Work out the cost of one student’s ticket.

Let x be the cost of a students ticket The cost of a teachers ticket will be 2x 2 (2x) + 18x = 132 22x = 132 x = 132 ÷ 22 x = 6

Answer: £6 (3)

5. What fraction is half way between

1

4and

1

8?

Give your answer as a fraction in its simplest form.

To find halfway, sum the fractions and divide by two.

1

41

82

81

83

8

1

23

83

16

Answer:

3

16

(3)

6. Divide £600 in the ratio 9 : 6 : 5.

9 + 6 + 5 = 20 £600 ÷ 20 = 30 9 x 30 = 270 6 x 30 = 180 5 x 30 = 150

Answer: 270:180:150

(3)





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13+ Science Total Marks: /22 Date: Biology 1. The picture shows a basilisk lizard. Some of the adaptations of the lizard are labelled.

Basilisk lizards are often found resting on branches of trees that grow next to water. Basilisk lizards can run across the surface of the water.

(a) Draw one line from each adaptation of the lizard to the advantage of the adaptation.

Toes on the back feet are webbed: Increases surface area… Long tail: Helps the lizard to balance… Brown skin: For camouflage…

(3)





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(b) Suggest one advantage to the basilisk lizard of being able to run across the surface of the water. To escape predators

(1)

(c) Animals, such as lizards, compete with each other. Select two factors from the below list that animals compete for. oxygen food territory light

(2)





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Chemistry 2. The iron produced from iron ore in a blast furnace is called cast iron.

Cast iron is converted into steel in a furnace.

Iron ore contains iron oxide. Coke contains carbon.

(a) Quarrying iron ore will have an impact on everything near to the quarry.

(i) Describe one positive impact and one negative impact of quarrying iron ore. Positive: provides employment, improves local economy, improved transport Negative: destruction of animal habitats, fewer plants and trees to absorb carbon dioxide, visual/noise pollution, more traffic, uses non-renewable resources

(2)

(ii) Choose the most appropriate word to complete the sentence. Ores contain enough metal to make extraction of the metal ………….. carbon neutral economical reversible expensive

(1)

(b) Many chemical reactions take place in a blast furnace. Use the flow diagram above to help you to answer this question Suggest how the blast furnace is heated. Carbon burns/reacts with oxygen/air

(1)

(c) A chemical reaction for the extraction of iron is: Fe2O3 + 3CO --- > 2Fe + 3CO2

(i) Complete the word equation for this chemical reaction. iron oxide + carbon monoxide ------ > iron + carbon dioxide

(2)

(ii) Choose the most appropriate word to complete the sentence. Iron is extracted from its ore by ………………………. decomposition oxidation reduction evaporation

(d) Cast iron contains about 4% carbon. Cast iron is converted into low-carbon steels

(i) Low-carbon steel is produced by blowing oxygen into molten cast iron. Suggest how oxygen removes most of the carbon. Oxygen reacts with carbon and produce carbon dioxide. Carbon dioxide is a gas.

(2)

(ii) Choose the most appropriate word to complete the sentence. Metals, such as nickel, are added to low-carbon steels to make the steel……. corrode easily easy to shape much harder softer





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(e) Recycling steel uses less energy than producing steel from iron ore. Tick one advantage and tick one disadvantage of recycling steel.

Statement Advantage Disadvantage Iron is the second most common metal in the Earth’s crust

Less carbon dioxide is produced

X

More iron ore needs to be mined

There are different types of steel which must be sorted

X

(2)





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Physics 3. The diagrams, X, Y and Z, show how the particles are arranged in the three states

of matter.

(a) (i) Which one of the diagrams shows the arrangement of particles in a liquid? Z

(1)

(ii) Which one of the diagrams, X, Y or Z, shows the arrangement of particles in a gas? X

(1)

(b) (i) Choose the most appropriate ending to complete the sentence. In a gas, the particles are……….

1. vibrating in fixed positions 2. not moving 3. moving randomly 4. bonded together

(1)

(ii) Choose the most appropriate word to complete the sentence. In a solid, the forces between the particles are………… the forces between the particles in a liquid.

1. stronger than 2. changing 3. equal to 4. weaker than

(1)

(c) After a rain shower, there is a puddle of water in a road.

(i) During the day, the puddle of water dries up and disappears. This happens because the water particles move from the puddle into the air. What process causes water particles to move from the puddle into the air? evaporation

(1)

(ii) Describe one change in the weather which would cause the puddle of water to dry up faster. If it becomes windy or the temperature increases (or becomes sunny)

(1)



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