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13+ Maths Non-Calculator

Total Marks: /22 Date: 1. Megan has a part-time job.

She earns £8 an hour. She wants to buy a concert ticket costing £40. How many hours does she need to work to earn enough to buy the ticket? 40 ÷8 = 5

Answer: 5 hours (2) 2. (a) Write down the two solutions to

121 11 and -11

Answer: 11 and -11 (2)

(b) Work out

3

5 of 45

45 ÷ 5 x 3 = 9 x 3 = 27

Answer: 27 (2)

(c) Work out 8% of 150

(150 ÷ 100) x 8 = 1.5 x 8 = 3 x 4 = 12

Answer: 12 (2)

3. The number 57 can be written as the product of two prime numbers. 57 = 3 × 19 Find three other numbers between 50 and 60 that can be written in this way. You must show the products with each answer. 51 = 3 x 17, 55 = 5 x 11, 58 = 2 x 29 (50 = 2 x 5 x 5, 52 = 2 x 2 x 13, 53 is prime…)

Answer: 51, 55, 58 (3)

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4.

Use approximations to estimate the value of

795.4

2.12 9.8

You must show your working.

800 ÷ (22 x 10) = 800 ÷ 40 = 20

Answer: 20 (3)

5. A bag contains only red, blue and yellow counters. There are three times as many blue counters as yellow counters. There are 43 counters in the bag. Some red counters are added to the bag. There are now 50 counters in the bag. The number of red counters has doubled. How many yellow counters are in the bag? (50 – 43) = 7 red counters added Therefore 14 red counters in total (as number as doubled) 36 blue and yellow counters ¼ of blue and yellow counters are yellow, therefore 36 ÷ 4 = 9 yellow counters

Answer: 9 (3)

6. (a)

Show clearly that the value of 17 – 5 ÷ 2 + 4 is

181

2

17 – 2½ + 4 = 19 – ½ = 18 ½

(1)

(b) Use one pair of brackets to make this statement correct. 17 – 5 ÷ 2 + 4 = 10 (17 – 5) ÷ 2 + 4 = 10

Answer: (2)

(c) Use two pairs of brackets to make this statement correct. 17 – 5 ÷ 2 + 1 × 4 = 16 (17 – 5) ÷ (2 + 1) x 4 = 16

(2)

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13+ Science Total Marks: /24 Date: Biology 1. Viruses and bacteria cause diseases in humans.

(a) Select the most appropriate word to complete the sentence: Organisms that cause disease are called ………. algae pathogens vaccines animals

(1)

(b) In August 2011 the United Nations gave a warning that there was a new strain of the bird flu virus in China. Bird flu may kill humans. The new strain of the bird flu virus could cause a pandemic very quickly.

(i) What is a pandemic? (Select one answer)

A disease affecting the people all over one country. A disease affecting hundreds of people. A disease affecting people in many countries.

(1)

(ii) The swine flu virus is carried by pigs. The bird flu virus is likely to spread much more quickly than the swine flu virus. Suggest one reason why. Birds can fly/migrate (or there are more birds than pigs or that human contact with birds is more likely)

(1)

(c) This notice is from a doctor’s surgery. “Unfortunately antibiotics will NOT get rid of your flu”

(i) Why will antibiotics not get rid of flu? Antibiotics only kill bacteria, not viruses

(1)

(ii) The symptoms of flu include a sore throat and aching muscles. What would a doctor give to a patient to relieve the symptoms of flu? painkillers

(1)

(iii) It is important that antibiotics are not overused. Explain why. Use one of the words below to complete the sentence. antibody bacteria immune resistant viruses

Overuse of antibiotics might speed up the development of resistant strains of bacteria .

(2)

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Chemistry 2. The bar chart shows the percentage of gases in the Earth’s atmosphere.

(a)(i) Give the name of gas A. Nitrogen

(1)

(a)(ii) Which of the gases listed below is naturally present in the atmosphere? argon carbon chlorine hydrogen

(1)

(b)(i) Complete the sentence by selecting the most appropriate word. The gases in the Earth’s earliest atmosphere were thought to originate from………. plants the ocean volcanoes ice caps

(1)

(b)(ii) Explain how the growth of primitive plants changed the percentage of oxygen and carbon dioxide in the Earth’s early atmosphere. Decrease in carbon dioxide and increase in the amount of oxygen due to plants photosynthesizing.

(2)

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(c)

Experiments can be carried out to find the volume of oxygen in a given volume of air. When hot, copper reacts with oxygen. In one experiment the following apparatus is used. At the start of the experiment, 100 cm3 of air is in gas syringe A. The air is passed backwards and forwards over the heated copper.

Describe how the apparatus can be used to show that the 100 cm3 of air contained 21cm3 of oxygen. The syringes can be pushed and pulled to move the air. The volume of air in the syringes will decrease as oxygen is removed from the air as a result of copper reacting with oxygen to form copper oxide. This should be continued until there is no further change. The apparatus should be allowed to cool and the final reading on the gas syringe should be 100 – 21 = 79cm3, because 21cm3 of oxygen has reacted.

(6)

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Physics 3. The picture shows a temporary road traffic information board.

The batteries power the LEDs used in the information board. The solar cells keep the batteries charged.

(a) Use words below to complete each of the following sentences. chemical electrical light sound motion

The solar cells transfer light energy to electrical energy. The batteries transfer chemical energy to electrical energy. The LEDs transfer electrical energy to light energy.

(3)

(b) When the total energy input to the solar cells is 200 joules, the useful energy output from the solar cells to the batteries is 50 joules. Calculate the efficiency of the solar cells. You may want to use the following equation: efficiency = useful energy out ÷ total energy in (× 100%) 50 ÷ 200 × 100% = 25%

(2)

(c) Which one of the following statements gives the reason for using solar cells to charge the batteries?

Solar cells will charge the batteries day and night. The information board can be used anywhere it is needed. A small number of solar cells produce a lot of electricity.

(1)