Proportional Reasoning Graphs Dice and Probability Fractions Surface Area 0 votes, 0 avg 151 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. You have 5 mins! 😊Your time is up .. sorry! 5 A Day Challenge!General Maths - Proportional Reasoning 1 / 5Jake has £4 more than Markus and £3 less than Alex. Altogether they have £50. How much money does Alex have? £17 £20 £15 £13 £14 Let's say Jake has X pounds. That means Markus has X - 4 pounds. Alex has X + 3 pounds.Given the above, X + (X-4) + (X+3) = 503X - 1 = 50 3X = 51 X = 17Hence Jake has has £17, Markus has £13 and Alex has £20 2 / 5£100 was distributed between Mia, John and Alex according to their needsMia got 3 times more than John. Alex got twice more than Mia.How much money did Alex get? £10 £50 £40 £60 £30 Let's say John has got X pounds. That means Mia has 3X pounds. Alex has 6X pounds.Given the above, X + 3X + 6X = 10010X = 100Hence John has £10, Mia has £30 and Alex has £60 3 / 550 chocolates were distributed among 4 students: Alice, Ben, Cindy, and David. Alice received 5 more chocolates than Ben. Cindy received twice as many chocolates as Ben. David received same number of chocolates as Alice.How many chocolates did Cindy receive? 13 16 15 8 10 Let's say Ben has X chocolates This means Alice has X+5 Cindy has 2X David has X+5 X + 2X + (X+5) + (X+5) = 50 5X + 10 = 50 5X = 40 X=8So Ben has 8 chocolates Cindy has 16 chocolates. 4 / 5In a board game, a total of 45 points were to be won between 3 players Anna, Brian, and Ali. Anna won half as many points as Brian. Ali won one and a half times as many points as Anna. How many points did Brian win? 20 10 18 12 15 Let's say Anna won X points So, Brian won 2X and Ali won 1.5XX + 2X + 1.5X = 45 4.5X = 45 X = 10So, Brian won 20points. 5 / 5A workshop had 54 participants.There were five times as many professionals as students.How many professionals were there? 38 professionals 35 professionals 40 professionals 45 professionals 42 professionals Assuming x students, five times as many professionals would be 5x; 5x + x = 54, therefore number of professionals i.e., 5x = 45. Your score is Take another quiz 0 votes, 0 avg 28 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. 5 A Day Challenge!Graphs 1 / 5The end points of five lines are shown in the answer options below. Which line is parallel to the line in the diagram? (1, 6) (5, 3) (1, 7) (5, 2) (1, 6) (6, 2) (2, 6) (5, 2) (1, 6) (5, 2) 2 / 5Write down the coordinates of the point (5,7) when reflected on Y-axis. (-5,7) (5,-7) (7,5) (7,-5) (-5,-7) Reflecting a point across the y-axis means that you take the point (x,y) and change the sign of the x-coordinate. So, (5,7) would reflect across the y-axis as (-5,7) This effectively mirrors the point over the y-axis. See the image 3 / 5The graph shows the conversion of GBP and US DollarsHow many Dollars is £22? $27.5 $29 $25.5 $29.5 $26 £2.2 corresponds to $2.75 (See image)£22 would corresponds to $27.5 4 / 5The graph shows triangle ABC.On reflection, the coordinates of point B change to (6,4). What are the new coordinates of point A? (3,4) (4,3) (3,3) (3,2) (4,4) Upon reflection the new coordinates will be A(3,3) B(6,4) C(4,1) 5 / 5The graph shows cookie sales by Dylan and his friends for 8 weeks of a charity event.In which week did the sales jump the highest? 3rd weeks 7th week 6th week 4th week 5th week The sales jumped the highest in the 4th week Your score is Take another quiz 0 votes, 0 avg 16 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. 5 A Day Challenge!Dice and Probability 1 / 5A die has numbers labelled from 1 to 6.What is the probability of rolling a number bigger than 4? 1/4 1/2 1/3 1/6 1/5 When a die is rolled, there are 6 possible outcomes: 1,2,3,4,5,6Numbers greater than 4 are: 5 , 6So, there are two favourable outcomes.Probability = Favourable outcomes / Possible outcomes = 2/6 = 1/3 2 / 5Two dice are rolled together.What is the probability of rolling an odd number on both? 1/4 1/6 1/9 1/36 1/12 Probability of getting an odd number on each dice is 50% = 1/2Probability of getting an odd number on both: 1/2 x 1/2 = 1/4 3 / 5Two dice are rolled together.What is the probability of rolling a total of 10? 1/3 1/36 1/7 1/24 1/12 Combinations that sum to 10:(4, 6)(5, 5)(6, 4)So, there are 3 favourable outcomes where the total is 10.The probability of getting each combination is 1/6 x 1/6= 1/36The probability of getting either combination with total of 10 = 1/36 + 1/36 + 1/36 = 3/36 = 1/12 4 / 5Two dice are rolled together.What is the probability of rolling a number bigger than 4 on both dice? 1/6 1/9 1/8 1/3 1/7 Total outcomes of each dice: 6Numbers greater than 4 are: 5 or 6So, there are two favourable outcomes for each dice.Probability of getting a number greater than 4 on each dice= Favourable outcomes / Possible outcomes = 2/6 = 1/3The probability of getting a number greater than 4 on both = 1/3 x 1/3 = 1/9 5 / 5A die has numbers labelled from 1 to 6. It is rolled twiceWhat is the probability of rolling a 6 both times? 1/24 1/30 1/12 1/36 1/6 When a die is rolled, there are 6 possible outcomes each time: 1,2,3,4,5,6So, there is one favourable outcome ie. getting 6 each time.Probability = Favourable outcomes / Possible outcomes = 1/6Getting a 6 both times = 1/6 x 1/6 = 1/36 Your score is Take another quiz 0 votes, 0 avg 15 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. 5 A Day Challenge!Fractions 1 / 7Mia feeds her dog, Max, 3/4 of a cup of food each day. She buys a bag of dog food that contains 21 cups of dry food. How many days will that bag of dog food last? 28 25 26 27 24 Mia feeds Max 3/4 of a cup of food each day, and the bag contains 21 cups of food. Divide the total food by the amount fed per day: 21 ÷ 3/4 = 21 × 4/3 = 84/3 = 28 days. 2 / 7Ethan works at Ice Blends. He uses 2/3 of a cup of crushed ice in each smoothie. When Ethan starts his shift, there are 30 cups of crushed ice in the ice maker. How many smoothies can he make with that ice? 50 40 38 42 45 Ethan uses 2/3 of a cup of crushed ice for each smoothie, and he starts with 30 cups of ice. Divide the total ice by the amount used per smoothie: 30 ÷ 2/3 = 30 × 3/2 = 90/2 = 45 smoothies. 3 / 7Olivia is making a wire design for an art project. For the design, she needs to cut a wire into pieces that are each 1/12 of a foot long. If the original wire is 5/6 of a foot long, how many pieces will Olivia have? 8 9 10 11 12 Olivia has a wire 5/6 of a foot long, and she needs to cut it into pieces that are 1/12 of a foot each. Divide the total wire length by the length of each piece: 5/6 ÷ 1/12 = 5/6 × 12/1 = 60/6 = 10 pieces. 4 / 7Ava bought a 3/4-pound bag of sunflower seeds. If one serving of sunflower seeds is 1/8 of a pound, how many servings are in the bag? 8 5 9 7 6 Ava has a 3/4-pound bag of sunflower seeds, and each serving is 1/8 of a pound. Divide the total weight by the weight of each serving: 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6 servings. 5 / 7Noah is using orange juice to make juice popsicles. He has 5 cups of juice, and each juice pop uses 2/3 of a cup of juice. How many juice pops can he make? 5 7 9 8 6 Noah has 5 cups of juice, and each juice pop uses 2/3 of a cup. Divide the total juice by the juice needed for each pop: 5 ÷ 2/3 = 5 × 3/2 = 15/2 = 7.5 ≈ 7 pops (rounded down). 6 / 7Emma wants to make cushions for her armchair. She has 8 yards of fabric. Each cushion uses 3/4 of a yard of fabric. How many cushions can she make? 12 10 8 11 9 Emma has 8 yards of fabric, and each cushion uses 3/4 of a yard. To find the number of cushions, divide the total fabric by the fabric required for each cushion: 8 ÷ 3/4 = 8 × 4/3 = 32/3 = 10.66 ≈ 10 cushions (rounded down) 7 / 7Liam is preparing small desserts for a party. He has 1 cup of whipped cream, and he wants to use 1/5 of a cup of whipped cream for each dessert. How many desserts can he make? 6 7 8 4 5 Liam has 1 cup of whipped cream, and each dessert uses 1/5 of a cup. Divide the total whipped cream by the amount per dessert: 1 ÷ 1/5 = 1 × 5 = 5 desserts. Your score is Take another quiz 0 votes, 0 avg 8 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. 5 A Day Challenge!Surface Area - Objects with cubes 1 / 5The volume of this cube is 1cm³What is the total surface area? 4cm² 6cm² 2cm² 1cm² 5cm² Since the volume is 1cm³ each side is 1cm.The cube has six flat faces - these are 6squares of area 1cm² each.Hence the surface area of the cube is 6 x 1cm² = 6cm² 2 / 5The volume of this object is 7cm³.What is the total surface area? 8cm² 7cm² 20cm² 24cm² 14cm² There are 7 cubes and the total volume is 7cm³The volume of each cube is 1cm³ ie. each side is 1cm.We know each flat face of the cube is a square - the surface area of each face is 1cm x 1cm = 1cm²Total surface area = Number of visible cube faces x 1cm²If you look at the object from all sides, top (4) + bottom (4) + left (4) + right (4) + front (4) + back (4) = 24 square faces with surface area of 1cm² eachHence, total surface area = 24 x 1 = 24cm² 3 / 5The volume of this object is 6cm³ - each smaller cube has equal sides of 1cm.What is the total surface area? 26cm² 28cm² 25cm² 6cm² 24cm² There are 6 cubes and total volume is 6cm³The volume of each cube is 1cm³ ie. each side is 1cm.Each flat face of the cube is a square - the surface area of each face is 1cm²Counting all visible cube faces should give us the surface area.If you look at the object from all sides, top (4) + bottom (4) + left (4) + right (4) + front (4) + back (4) = 24cm² 4 / 5The volume of this object is 32cm³ - all cubes have the same dimensions.What is the total surface area? 82cm² 96cm² 72cm² 84cm² 88cm² There are 4 cubes and the total volume is 32cm³The volume of each cube is 8cm³ ie. (2cm x 2cm x 2cm) So, each side is 2cm.We know each flat face of the cube is a square - the surface area of each face is 2cm x 2cm = 4cm²Total surface area = Number of visible cube faces x 4cm²If you look at the object from all sides, top (3) + bottom (3) + left (3) + right (3) + front (3) + back (3) = 18faces with surface area of 4cm² eachHence, total surface area = 18 x 4 = 72cm² 5 / 5The volume of this object is 10cm³.What is the total surface area? 30cm² 36cm² 32cm² 10cm² 20cm² There are 10 cubes and the total volume is 10cm³The volume of each cube is 1cm³ ie. each side is 1cm.We know each flat face of the cube is a square - the surface area of each face is 1cm x 1cm = 1cm²Total surface area = Number of visible cube faces x 1cm²If you look at the object from all sides, top (6) + bottom (6) + left (4) + right (4) + front (5) + back (5) = 30faces with surface area of 1cm² eachHence, total surface area = 30 x 1 = 30cm² Your score is Take another quiz
