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Mock Exam 1The Pie Baking Contest

Instructions: This task has three parts: Part 1 has three questions, whileParts 2 and 3 have one question each.

You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your famous strawberry pie to compete with the other bakers. Utilise your skill with fractions to make the correct calculations.

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1Part

You need to use 4/5 of a cup of strawberries for a single pie.

1- How many cups are needed for 2 pies?

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2- How many cups are needed for 9 pies?

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3- Write 4/5 as an equivalent fraction in 3 different forms.

1: ……………....................……….……………………………………………………………………………

2: .……………………....................……………………..……………………………………………………..

3: ………………………...................……………………………………………………………………………

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2Part

1- The contestants made a total of 56 pies.

• 1/4 of the pies were strawberry.• 1/4 of the pies were blueberry.• 1/8 of the pies were cherry. • 1/8 of the pies were chocolate.• 1/4 of the pies were apple.

Fill in the number of each pie in the chart below. Show your calculations below the chart.

Pie Type Number of Pies

Strawberry

Blueberry

Apple

Cherry

Chocolate

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2- Calculations:

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3Part

Oh no! A malfunction of a refrigerator in the kitchen has caused some pies to be spoiled. This has resulted in about 15% of the apple pies being ruined.

1- How many apple pies are left?........................................................................................................................................

2- Explain how you arrived at this answer.

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Mock Exam 2 A Day Out

Instructions: This task has three parts. Part 1 has three questions. Parts 2 and 3 have one question each. Part 4 has one question. Show your calculations in the spaces provided.

Mr John, a teacher from Mandeville Primary School, plans to take 40 students on a school trip. Here are the places they could visit.

99 kilometres from Mandeville

Entrance fee: J$1,000 per studentJ$1,500 per adult

94 kilometres from Mandeville

Entrance fee: J$50 per studentJ$200 per adult

Dunn’s River Falls

141 kilometres from Mandeville

Entrance fee:J$300 per student J$600 per adult

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The students vote on which place to visit. Here are the results:

S/N Name First Choice Second Choice

1 Selene National Museum Dunn’s River Falls

2 Victoria National Museum Hope Zoo

3 Danielle Hope Zoo Dunn’s River Falls

4 Ashani Hope Zoo Dunn’s River Falls

5 Alex Dunn’s River Falls Hope Zoo

6 Kristen National Museum Dunn’s River Falls

7 Amanda Dunn’s River Falls Hope Zoo

8 Joel Dunn’s River Falls National Museum

9 Kymani Dunn’s River Falls National Museum

10 Llanzo Hope Zoo Dunn’s River Falls

11 Noah National Museum Hope Zoo

12 Britney National Museum Dunn’s River Falls

13 Aaliyah Hope Zoo Dunn’s River Falls

14 Tara Hope Zoo National Museum

15 Michelle Hope Zoo Dunn’s River Falls

16 Dominic National Museum Dunn’s River Falls

17 Brandon Hope Zoo Dunn’s River Falls

18 Kyle Dunn’s River Falls Hope Zoo

19 Zane Dunn’s River Falls National Museum

20 Richard National Museum Hope Zoo

21 Alyssa National Museum Dunn’s River Falls

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22 Samantha National Museum Dunn’s River Falls

23 Christina National Museum Hope Zoo

24 Claire Hope Zoo Dunn’s River Falls

25 Abigail Dunn’s River Falls National Museum

26 Jessica Dunn’s River Falls National Museum

27 Tarone Dunn’s River Falls Hope Zoo

28 Calvin Hope Zoo Dunn’s River Falls

29 Sheldon National Museum Dunn’s River Falls

30 Kyone National Museum Hope Zoo

31 Rojay Dunn’s River Falls National Museum

32 Jordan Hope Zoo National Museum

33 Anthony Dunn’s River Falls Hope Zoo

34 Rachel Dunn’s River Falls Hope Zoo

35 Cindy National Museum Dunn’s River Falls

36 Gabrielle National Museum Hope Zoo

37 Isabelle Hope Zoo National Museum

38 Frederick Dunn’s River Falls Hope Zoo

39 Mark Hope Zoo Dunn’s River Falls

40 Maria National Museum Hope Zoo

Here are some further information about the trip:1- The bus company charges student J$100.00 per kilometre for bus fare.2- The school fund will pay the first J$150.00 of the trip.3- Teachers ride for free. 4- Parents do not have a lot of money.

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1Part

1- What percentage of the students chose Hope Zoo as their first choice?

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2- What percentage of the students chose National Museum Jamaica as their first choice?

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3- What percentage of the students chose Dunn’s River Falls as their second choice?

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2Part

Represent the students’ vote for their first choice using a bar graph.

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3Part

3a. Where should they go for their trip? Explain clearly how you made your decision.

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4Part

How much will each person need to pay to go on the trip you have chosen?Explain carefully how you made your decision.

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Mock Exam 3The 3-on-3 Basketball Court

General Instructions: This task has three parts: Part 1 has one question, Part 2 has three questions and Part 3 has two questions.

The local school is building a basketball court for 3-on-3 games during physical education classes. Because the usual rules of regulation basketball include five players on each team, the court will need to be constructed differently to make the correct size playing surface (area) for the smaller group of players. Complete the calculations and tasks that follow to show how mathematical skills can be applied in this situation.

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1Part

The table shows the materials needed for a regulation court for 5-on-5 basketball. What is the cost to create a full-length 5-on-5 basketball court based on the data provided?

Material Costs Amount Needed for a Regulation 5 on 5 Court.

Asphalt $50 per kg 15,000 kg

Paint $10,000 per bucket 3 buckets

Hoops $30,000 per hoop 2 hoops

1- ...................................................................................................................................................................................................................................................................................................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... ..........................................................................................................................................

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2Part

The area of a 5-on-5 basketball court is 495.42 square metres. It is 29.56 metres long by 16.76 metres wide. Your task is to determine the width for a 3-on-3 court, given that the length is 15 metres and the area is 165 square metres. Calculate your answer, then write same in the space below.

Calculations:

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2- What is the cost to build a 3-on-3 court with an area of 165 square metres? The hoops and the paint will still be needed in the same quantities as the 5-on-5 court. However, the quantity of asphalt will be less. Complete your calculations and circle the final answer.

3- Explain how you determined the costs for the 3-on-3 court. Write an explanation that supports your calculations for question 2.......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

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3Part

1- Label the lengths of the 3-on-3 court (perimeter only).

2- Explain how you calculated the court’s length and width..................................................................................................................................................................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... ..........................................................................................................................................

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Mock Exam 4 Gemstones on a Bracelet

General Instructions: This task has three parts: Part 1 has two questions,

Part 2 has two questions and Part 3 has one question.

You are the owner of a gemstone company that sells the stones to luxury jewellery makers. You have acquired a collection of diamonds, sapphires, and emeralds. In addition, you have a large supply of crystals in your inventory. You will sell combinations of these gems to the stores for them to make bracelets for customers. You will see that each store will have different requests and needs for your products. Apply mathematical skills to manage your inventory, set price quotes for the stores, and keep track of your profit.

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1Part

Your company places 10 gemstones on a bracelet and then sells them to stores. The stores can choose any combination of your 4 types of gems. The prices and gems are described in the data set chart below.

Gem Cost in Dollars

Diamonds J$50,000

Sapphires J$30,000

Emeralds J$20,000

Crystals J$20,500

1- A small store can afford $200,000 per bracelet. They do not want any diamonds. What is the greatest number of emeralds they could have?....................................................................................................................................................................................................................................................................................

2- A large store can spend up to J$750,000 per bracelet with half diamonds. List 3 possible combinations. Show the mathematical calculation for each.

Combination 1:

Combination 2:

Combination 3:

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2Part

Use the data set in Part 1 to answer questions about your inventory. You own exactly 450 gems total. The inventory is sorted, counted, and percentages are given below:

• Diamonds 10%• Sapphires 25%• Emeralds 15%• Crystals 50%

1- What is the total value of your inventory? Show your calculation and circle the dollar value.

2- Write a step-by-step explanation of how you arrived at the answer to question number 1...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

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3Part

You sell your gems for more than you pay to purchase them so that you can make a profit. Look at the table below to determine your profit.

Gem Sale Price Your Cost

Diamonds J$50,000 J$35,000

Sapphires J$30,000 J$25,000

Emeralds J$20,000 J$15,000

Crystals J$20,500 J$20,000

1- What is the profit on each item for one transaction? Circle the gem that yields the highest profit.

Diamonds = ……………………………………………………….........……………………………...……..

Sapphires = ………………………………….......………………………………………..........................

Emeralds = …………………………………........………………………………………..........................

Crystals = …………………………………………............……………………………………………………

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Mock Exam 5 A Boat Trip

General Instructions: This task has three parts: Part 1 has three questions, Part 2 has two questions and Part 3 has three questions

The Thompson family is taking a boat cruise for a vacation. This family of four must budget correctly to afford the trip including accommodations, food, and souvenirs. Apply mathematical principles to the situation to determine the correct answers.

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1Part

Accommodations:The cruise boat has four different cabin styles. The larger and better the view, the more expensive the cost for each night. Observe the data in the chart and utilise it to answer the questions in this part. A maximum of two persons can stay in a cabin.

Cabin Type Cost Per Night

Luxury Cabin J$40,000.00

Seaview Cabin J$35,000.00

Inside Cabin J$30,000.00

Economy Cabin J$25,000.00

1a- What is the least amount that the Thompsons can spend for a five-night stay?…………...........................……………………...........…………………..…………………………………... …………...........................……………………...........…………………..………………………………….. 1b- What is the most that the Thompsons can spend for a five-night stay? ……………………………………………..........…………………………………………………………………………………………………………………..........…………………………………………………………………… 2- The Thompsons does not wish to spend more than J$600,000 for cabins for their entire vacation. What is the highest level cabin (everyone must stay in the same cabin type) that they can afford? Show the calculations that prove your answer.……………………………………………..........…………………………………………………………………… ……………………………………………..........……………………………………………………………………3- What is the difference in price between a five-night stay in a luxury cabin and a five-night stay in an inside cabin? Show the calculations that prove your answer.……………………………………………..........…………………………………………………………………… ……………………………………………..........…………………………………............………………………

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2Part

Meal Plans (per person per night)

Meal Plan Cost

Fine Dining Plan J$16,000.00

Medium Dining Plan J$10,000.00

Economy Dining Plan J$6,000.00

Souvenirs

Souvenirs Cost

T-Shirts J$1,500.00

Hats J$1,000.00

Key Chains J$500.00

1- What is the highest cost and the lowest cost that a family of four (4) can pay for the cruise meal plans and one souvenir per person? Show the calculations that prove your answer........................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... ..........................................................................................................................................

2- What would the cost be to buy everyone the Fine Dining Plan as well as a t-shirt and a hat?.......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... ..........................................................................................................................................

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3Part

The Thompson family has J$2,000,000 to spend on a cruise vacation. They need a five-night stay, four meal plans, and a total of eight souvenirs. They must purchase at least one souvenir of each type.

1- Can they afford the trip? Yes/No. Show your calculations.…………………………………………..........…………………………………………………………………………………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........………………………………………………………………………

2- Write an explanation of how you determined the answer to number 1.…………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........……………………………………………………………………… …………………………………………..........………………………………………………………………………

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3- In 2020, the Tourism Commission will be adding a 7% tax to accommodations, 5% tax to food, and 10% tax to souvenirs. Create the new pricing guide below after factoring in these changes.

2020 Cabin Rates

Cabin Type Cost Per Night

Luxury Cabin

Seaview Cabin

Inside Cabin

Economy Cabin

2020 Meal Plans

Meal Plan Cost

Fine Dining Plan

Medium Dining Plan

Economy Dining Plan

2020 Souvenirs

Souvenir Cost

T-Shirts

Hats

Key Chains

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Source 2Caribbean Language and Food

Source: http://www.caribbeantraveler.com/language.html

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Source 3Effects of Soil Erosion

Source: https://www.worldwildlife.org/threats/soil-erosion-and-degradation

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Source 3