13+ Common Entrance Extended Worksheet No. 1602HT1 - Premium February Half Term Maths Calculator Total Marks: /25 Date:
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1 13+ Maths Calculator Total Marks: /25 Date: 1. Liz is buying a new car and selling her old car. Here are three offers for the same model of new car Offer 1 New car If old car given to garage 3375 off Offer 2 New car If old car given to garage 1/3 off Offer 3 New car 9600 If old car given to garage 25% off Which offer is best? You must show your working. Offer 1: = 7224 Offer 2: x (2/3) = 7400 Offer 3: 9600 x (0.75) = 7200 Therefore Offer 3 is best Answer: Offer 3 (5) 2. Olivia usually drives home from work. Some of her journey times are shown. Ltd. Registered in England and Wales. Company Number
2 (a) How long did it take Olivia to drive home on Monday of week 2? = 34 minutes Answer: 34 minutes On Friday of week 2 Olivia walked home. What time did she arrive home? hours and 1 minute = 7.11 Answer: 7.11 (c) Complete the scatter diagram for the four days she drives home in week 2. (d) Estimate the time Olivia would have arrived home on Friday of week 2 if she had driven. Use your scatter diagram to show how you decide. Your line of best fit should show that it takes minutes, therefore she would have arrived home between 5.40 and 5.45 Answer: (3) Ltd. Registered in England and Wales. Company Number
3 3 People in a town voted in an election. The probability a vote was given to a particular party is shown. One value is missing. Party Probability Conservative 0.41 Labour 0.24 Liberal Democrat 0.22 UKIP Other 0.04 (a) Complete the table. 1 ( ) = 0.09 There are people in the town voted. How many people in the town did not vote Conservative? (1 0.41) x 8000 = 4720 voted for other parties = 7000 did not vote at all Therefore total in town who did not vote Conservative = = Answer: (3) 4. Use your calculator to work out the value of: (i) Write down all of the digits of your answer from your calculator (iii) Correct to 2 decimal places Correct to 5 significant figures Answer: Answer: 2.30 Answer: Ltd. Registered in England and Wales. Company Number
4 5. Below is a sequence of numbers: 23, 20, 17, 14,11,.. Calculate: (i) The 9 th term of this sequence 23 (-3) = 20 (-3) = 17 (-3) = 14 (-3) = 11 (-3 ) = 8 (-3) = 5 (-3)= 2 (-3) = -1 Answer: -1 The 100 th term of this sequence 23 + (-3 x 99) = -274 Answer: -274 Ltd. Registered in England and Wales. Company Number
5 13+ Science Total Marks: /20 Date: Biology 1. Complete the sentences about evolution. Select the correct answer to complete each sentence. (a) (i) Darwin suggested the theory of evolution by.selection. artificial natural asexual Darwin s theory of evolution says that all species of living things have evolved from life forms artificial complex simple (iii) Most scientists believe that life first developed about..years ago. three billion three million three thousand (c) Darwin s theory of evolution was only slowly accepted by other people. Give two reasons why. Insufficient evidence/religious beliefs/mechanism of inheritance not known/other competing theories The below diagram shows an evolutionary tree and is one model of the relationship between some animals. (i) Which two of the animals in Diagram 1 are most closely related? Hippopotamus and Pig Ltd. Registered in England and Wales. Company Number
6 The below diagram shows a more recent model of the relationship between the animals Suggest one reason why scientists have changed the model of the relationships between the animals shown in the diagram. Select an answer from below. more powerful computers new evidence from fossils new species discovered Ltd. Registered in England and Wales. Company Number
7 Chemistry 2. The diagram shows the layers in and around the Earth. (a) Use the diagram above to help you to answer this question. Draw one line from each statement to its correct layer. Statement Layer There are mountain ranges. (crust) There are convection currents that cause earthquakes. (mantle) There is a mixture of gases. (atmosphere) atmosphere core crust mantle (3) Ltd. Registered in England and Wales. Company Number
8 Iceland has many volcanoes. Scientists are monitoring a volcano in Iceland, called Katla. (i) There has been an increase in the number of small earthquakes (tremors) around Katla. Draw a ring around the correct answer to complete the sentence. Iceland has volcanoes because it has low temperatures. is an island. is on a tectonic plate boundary. People do not know when Katla will next erupt. Tick () the correct reason why. Reason Small earthquakes (tremors) near the volcano are happening more often. Tick The last two eruptions happened a long time ago in October 1918 and in May Scientists cannot accurately predict when volcanic eruptions will occur. (c) Previous eruptions of Katla produced large amounts of solid ash particles and sulfur dioxide. Use the correct answer to complete each sentence. acid rain earthquakes global dimming global warming An environmental impact caused by solid ash particles is global dimming An environmental impact caused by sulfur dioxide is acid rain Ltd. Registered in England and Wales. Company Number
9 Physics 3. (a) The diagram shows two forces acting on an object. What is the resultant force acting on the object? 4N to the right BASE jumpers jump from very high buildings and mountains for sport. The diagram shows the forces acting on a BASE jumper in flight. The BASE jumper is wearing a wingsuit. (i) Draw a ring around the correct answer in the box to complete each sentence. The BASE jumper accelerates forwards when force A is force B. smaller than equal to bigger than The BASE jumper falls with a constant speed when force C is.. force D. smaller than equal to bigger than To land safely the BASE jumper opens a parachute. What effect does opening the parachute have on the speed of the falling BASE jumper? Give a reason for your answer. The speed is reduced due to the increased air resistance (force C) Ltd. Registered in England and Wales. Company Number
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