NAPLAN Year 3 Numeracy 2016

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Questions and Answers

Which group in Year 3 has the most stars?

  • Wombats
  • Koalas (correct)
  • Possums
  • Emus

What is the true statement about Carmen's and Sal's strings?

  • Carmen’s string is the same length as Sal’s string.
  • Carmen’s string is longer than Sal’s string. (correct)
  • Carmen’s string is shorter than Sal’s string.
  • Sal’s string is thicker than Carmen’s string.

If Paul has 6 ten-cent coins, how much money does he have altogether?

  • 60 cents (correct)
  • 16 cents
  • 33 cents
  • 50 cents

Which statement is true regarding the eye colors in Mrs. Smith’s class?

<p>More students have brown eyes than black eyes. (D)</p> Signup and view all the answers

How many people are on the roller-coaster if it has 6 cars and each car has 3 people?

<p>18 (C)</p> Signup and view all the answers

Which clock shows half-past four?

<p>Clock A shows 4:30. (A)</p> Signup and view all the answers

Which shape could Cathy make by joining the two shapes she has?

<p>A rectangle (D)</p> Signup and view all the answers

What is the total number of students with black eyes if fewer students have them than brown eyes?

<p>1 student (A)</p> Signup and view all the answers

In which cell is the item located if it is mentioned as being in cell A2?

<p>Cell A3 (C)</p> Signup and view all the answers

How much change should Shana receive after giving the shop owner $30 for items costing $6.10, $3.50, and $14.40?

<p>$7 (C)</p> Signup and view all the answers

Which number sentence can be used to find the number of stickers Teni has if Ava has 38 stickers out of 51 total?

<p>51 – 38 = 13 (A)</p> Signup and view all the answers

What is the likelihood of Lina winning the next coin flip after winning the last three times?

<p>Both are equally likely to win. (D)</p> Signup and view all the answers

What number comes before 41 in Kia's number line pattern?

<p>39 (C)</p> Signup and view all the answers

Ari thinks of a number with the hints provided. What is Ari’s number if it has the same digit in the ones and hundreds place, and 90 tens?

<p>909 (A)</p> Signup and view all the answers

What is the correct interpretation of Pat's equation ?-2=5?

<p>?? must equal 7. (C)</p> Signup and view all the answers

In the context of Max's pictures, which grid would likely have the largest painted area?

<p>Grid with all squares painted grey. (C)</p> Signup and view all the answers

What is the total number of birds Anne and Elizabeth saw altogether?

<p>7 (D)</p> Signup and view all the answers

Which method correctly calculates the total blocks given to all 5 students?

<p>10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 (C)</p> Signup and view all the answers

Based on the spinner outcomes, which term best describes the probability of landing on 'unlikely'?

<p>Unlikely (A)</p> Signup and view all the answers

How many groups of 3 eggs can the farmer make with 24 eggs?

<p>8 (D)</p> Signup and view all the answers

What scenario could Henry solve with the equation $12 × 6 = 72$?

<p>He buys 6 apples for each of his 12 friends. (A)</p> Signup and view all the answers

If a team of 5 players scores a total of 45 points, how many points does each player score?

<p>9 (C)</p> Signup and view all the answers

Which container is likely to hold the most water when filled with one cup each?

<p>The tallest container (B)</p> Signup and view all the answers

What is marked on Greta's treasure map to indicate the treasure?

<p>An X (D)</p> Signup and view all the answers

What fraction of the bag of apples is left for Mark if Bill and Sue each get 6 apples?

<p>2/3 (A)</p> Signup and view all the answers

What is the width of Anika's hand if measured with a broken ruler that indicates 9 centimetres?

<p>9 centimetres (B)</p> Signup and view all the answers

Which card will make the number sentence '43 + 28 = 43 + ??' correct?

<ul> <li>2 (B)</li> </ul> Signup and view all the answers

If Nick has a rectangular garden that is 8 metres long and 6 metres wide, how many fence posts does he use if he places them every 1 metre around the garden?

<p>30 (C)</p> Signup and view all the answers

If Kim picked 9 more strawberries than Sam and together they picked 33 strawberries, how many strawberries did Kim pick?

<p>18 (C)</p> Signup and view all the answers

How much money did Rosa receive for her birthday if she has three $5 notes, two $10 notes, and two $20 notes?

<p>$60 (B)</p> Signup and view all the answers

What is the total number of children who were asked their favorite sport if the students' responses were: Basketball - 5, Tennis - 8, Hockey - 4?

<p>16 (A)</p> Signup and view all the answers

If Stef's book has more than 324 pages but less than 342 pages, which of the following page counts could accurately represent the number of pages in her book?

<p>326 (C)</p> Signup and view all the answers

What could be the weight of the cube if the scale is balanced at 13 grams on one side and an unknown weight on the other side?

<p>13 grams (B)</p> Signup and view all the answers

If Eva travelled 4,037 kilometers from Darwin to Sydney, how can this distance be accurately represented?

<p>4037 km (A)</p> Signup and view all the answers

If Jack folded a piece of paper and created a model, which of the following could likely represent one of the models he made?

<p>A cube (B)</p> Signup and view all the answers

After conducting a survey about favorite sports, if 10 students chose Basketball, 5 chose Tennis, and 7 chose Hockey, how many students in total participated in the survey?

<p>23 (B)</p> Signup and view all the answers

Which of the following tiles could be identified as missing in the provided pattern?

<p>Tile B (D)</p> Signup and view all the answers

Flashcards

What does 'length' mean?

The amount of space an object occupies.

What is a 'sequence'?

A collection of items where order matters.

What is an 'array'?

A group of objects arranged in a specific way.

What is a 'fraction'?

A number that represents a part of a whole.

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What is a 'bar graph'?

A visual representation of data using bars of different lengths.

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What is an 'equation'?

A number sentence with an equal sign, showing that both sides have the same value.

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What is a 'rectangle'?

A shape with four straight sides and four right angles.

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What is a 'square'?

A shape with four equal sides and four right angles.

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What is a picture graph?

A picture graph uses symbols to represent data. Each symbol represents a specific number of items.

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How do you find the total in a picture graph?

To find the total number of items represented in a picture graph, multiply the number of symbols by the number of items each symbol represents.

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What does 'certain' mean in probability?

The chance of something happening is how likely it is to occur. Certain means something will definitely happen.

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What does 'likely' mean in probability?

The chance of something happening is how likely it is to occur. Likely means something is more probable to happen than not.

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What does 'unlikely' mean in probability?

The chance of something happening is how likely it is to occur. Unlikely means something is less probable to happen than not.

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What does 'impossible' mean in probability?

The chance of something happening is how likely it is to occur. Impossible means something cannot happen.

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What is repeated addition?

Repeated addition is adding the same number multiple times. It is one way to represent multiplication.

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How do you find the total points in a game?

To find the total number of points, multiply the number of players by the number of points each player scores.

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Calculate Rosa's Birthday Money

The total amount of money Rosa received for her birthday is the sum of all the bills given to her.

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Total Students Surveyed

The total number of children asked about their favorite sport is equal to the sum of children who chose each sport.

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Finding the Number of Pages

Stef's book has more than 324 pages but less than 342 pages. To find the possible number of pages, find the number greater than 324 and less than 342.

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Folding a Model

When a piece of paper is folded along dotted lines, the resulting 3D model is formed by combining the folded sections.

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Completing a Pattern

The missing tile in a repeating pattern is the next tile in the sequence, following the pattern's rule.

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Balancing a Scale

The weight of the cube is found by understanding that the scale is balanced. Both sides of the scale must weigh the same.

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Writing a Distance Numerically

The distance traveled from Darwin to Sydney is four thousand and thirty-seven kilometers. This number can be written in numerical form as 4037 km.

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Counting Bird Observations

The total number of birds Anne and Elizabeth saw is obtained by summing the number of each bird type.

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What fraction of the apples is left for Mark?

To find a fraction of a whole, divide the whole into equal parts. The denominator of the fraction represents the total number of parts. The numerator represents the number of parts being considered.

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Which card will make the number sentence correct?

When adding or subtracting numbers, the order in which you add or subtract does not change the result.

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How many posts does Nick use altogether?

A rectangular garden is a four-sided shape with four right angles. To find the perimeter, you need to add up the lengths of all the sides.

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How many strawberries did Kim pick?

To solve a word problem, break it down into smaller steps. Understand what information is given and what you need to find.

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What is the next number in the pattern?

A number pattern follows a specific rule. To identify the rule, look for the relationship between consecutive numbers.

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Area painted grey

The area painted grey is the total number of grey squares on a grid. The larger the number of grey squares, the larger the area painted grey.

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Number sentence

A number sentence is an equation using numbers and mathematical symbols. The equation '51 - 38 = 13' represents finding the difference between two numbers.

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Fair coin

A fair coin has two sides with equal chances of landing heads or tails. The chance of winning on each flip is the same for both Lina and Bess, regardless of past outcomes.

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Number before 41

The number that comes before 41 is the number that is one less than 41. In this case, it's 40.

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Ari's Number

A number with 90 tens means it has a value represented by 90 x 10 = 900. If the ones and hundreds place are the same, it's a number repeated twice, following the pattern 900 + 9.

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Finding the same value

The value of {?} is 7 because 7 - 2 = 5. In the options provided, only 5 - 2 = 3 also has {?} equal to 7.

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Heavier object on a balance scale

The balance scale compares the weights of objects. The heavier object tilts the scale down on its side.

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Calculating change

Change is the amount of money you receive back when you pay more than the cost of items. To calculate change, subtract the total cost of items from the amount paid.

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Study Notes

NAPLAN Year 3 Numeracy 2016

  • Test Duration: 45 minutes
  • Materials: 2B or HB pencil only
  • Assessment: Assesses numeracy skills of Year 3 students. The test covers various topics.
  • Question Types: Multiple choice questions and free response questions. The format of the test varied by question.

Year 3 Groups

  • Question 1: Determining which group has the most stars.
  • Example: A series of pictures of different animal groups with stars. Students identify the group with the most stars.

String Measurement

  • Question 2: Comparing lengths of strings using paperclips.
  • Example: Carmen and Sal have strings measured with paper clips. Which statement is true? Options given compare the lengths of the string, longer, shorter or equal. Students must analyze the provided paperclip images to answer.

Currency

  • Question 3: Calculating a total amount of money.
  • Example: Paul has 6 ten-cent coins, calculate the total amount of money. This problem used monetary units (currency) to test calculation skills. Options for answering the question using cents as the unit.

Graph Data Analysis

  • Question 4: Interpreting data from a bar graph.
  • Example: A bar graph displaying eye colors and their corresponding numbers of students. Problems based on eye coloring presented in a graph. Students must analyze the bar graph data to answer problems about the graph's data, numbers of students and colors.

Roller Coaster

  • Question 6: Calculating the total number of people on a roller coaster.
  • Example: A roller coaster has 6 cars. Each car has 3 people. Calculate the total number of people on the roller coaster. A problem about calculating a total of people on a roller coaster, by calculating the number of people in each section of the coaster.

Time

  • Question 7: Identifying the clock showing half-past four.
  • Example: A series of clock pictures. The student must determine which picture shows half past four o'clock. The clock in the question is used to find the correct time.

Money Calculation

  • Question 8: Determining the total value of currency.
  • Example: Rosa was given several bills and coins for her birthday. Questions asked how much money Rosa received.

Favourite Sport

  • Question 9: Counting the total number of students surveyed about their favourite sport.
  • Example: A table showing the number of students for each favourite sport. Students must count the tally marks in the table and calculate the total number of students.

Book Pages

  • Question 10: Determining a range of page numbers for a book.
  • Example: A book that has more than 324 pages but less than 342 pages; Students choose the correct number of pages within the range.

Paper Folding

  • Question 11: Identifying the shape created by folding a piece of paper.
  • Example: A piece of paper is folded along the lines to show a final object. Students must choose the image that represents the correct 3D shape presented by the folding process.

Tile Pattern

  • Question 12: Identifying the missing tile in a pattern.
  • Example: Series of tiles. Students must identify the missing tile in the sequence.

Scale Balance

  • Question 13: Calculating the weight of an object on a balanced scale.
  • Example: A balanced scale with weights given to find the unknown weight.

Distance

  • Question 14: Determining the distance in kilometres.
  • Example: Eva traveled a certain distance from Darwin to Sydney. Determine the distance using the map and the answer given in kilometers.

Bird Counting

  • Question 15: Analyzing a table of birds and drawing a picture graph.
  • Example: A table (or tally marks) showing the counts of different bird types. Students must interpret the data to determine a correct picture graph. This could involve counting frequencies and representing those frequencies through pictures on the graph.

Number Blocks

  • Question 16: Determining operations used to calculate number of blocks.
  • Example: A question about a teacher giving blocks to students. Students determine which mathematical operations to find the correct number of blocks.

Spinner

  • Question 17: Calculating the probability of a spinner landing on a specific color.
  • Example: A spinner divided into different areas of colors. Students determine the odds of a specific color being selected.

Egg Grouping

  • Question 18: Grouping eggs in sets of three.
  • Example: A farmer collected 24 eggs. He needs to count and group them into groups of three. Pictures of groups of eggs provided. Students determine the correct answer based on the grouping of eggs provided.

Number Sentence

  • Question 19: Choosing the correct word problem to match a given number sentence.
  • Example: A number sentence for multiplication (12 x 6 = 72). Students must determine what word problem fits this sentence.

Container Capacity

  • Question 20: Identifying the container with the greatest capacity.
  • Example: A series of containers and their shapes. Students determine the container with the highest water-retention capacity.

Basketball Points

  • Question 21: Calculating the points scored by each player in basketball.
  • Example: A team of 5 scored 45 points total, with all players scoring the same. Students determine how many points each player scored.

Treasure Locations

  • Question 22: Determining the location of treasure using a treasure map with X indicating the position.
  • Example: A treasure map showing a treasure in grid referencing. Students need to understand how grids work to determine the cells (or coordinate) that the treasure is located in.

Shopping

  • Question 23: Calculating the change from a given amount of money using given prices for items purchased.
  • Example: A student bought a shopping list for several items and gave a certain amount of money for the whole purchase. Questions involved finding out the change received from the purchase total.

Grid Size

  • Question 24: Determining the grid with the largest painted area.
  • Example: A series of grids presented with varying amounts of shaded sections. The student must analyze and determine which grid has the highest number of shaded sections.

Object Weighting

  • Question 25: Identifying the heaviest object using a balance scale.
  • Example: Various objects presented to show the weight on a balance scale. Students determine the heaviest object shown on the scale.

Sticker Count

  • Question 26: Determining a missing number using the concept of subtraction.
  • Example: Students given information about two people with stickers and a total for the number of stickers owned by both people. A word problem asking for the difference or how many stickers are a difference.

Coin Flips

  • Question 27: Determining the likelihood of an event occurring, considering past results.
  • Example: Two people flipping a coin to decide which seat to take. Students determine the likelihood of someone getting tails.

Number Pattern

  • Question 28: Identifying the missing numbers in a numerical sequence.
  • Example: A number line to show the sequence and missing numbers (pattern). Students need to grasp the pattern to identify the missing numbers in the sequence.

Number Clue

  • Question 29: Solving a riddle and determining the answer based on given clues.
  • Example: A riddle or set of clues to determine a single number response. Students must understand how to decipher word problems to find the answer.

Number Equations

  • Question 30: Finding the missing number in an equation.
  • Example: A question that has a question mark, and the student must identify an appropriate solution or the correct answer. Solving number equations to find the missing number (?).

Apple Fractions

  • Question 31: Determining the fraction of apples left for Mark after Bill and Sue have taken theirs.
  • Example: Solving fractions, calculating portion of a quantity or an equation with fractions, finding the missing piece or portion of something (the apple fraction).

Width Measurement

  • Question 32: Determining the width of a hand, using a broken ruler (the numbers on the ruler are missing some values).
  • Example: A ruler; however, not all numbers are present; find the proper width of a hand from the broken ruler using the available units or numbers displayed.

Number Sentence

  • Question 33: Determining the appropriate card to make the number sentence correct.
  • Example: A math problem with a missing number or operation card, that must be determined using the given numbers and operation symbols.

Garden Posts

  • Question 34: Calculating the number of fence posts needed for a rectangular garden.
  • Example: A rectangular garden and its dimensions in meters are given. Students need to calculate and identify the number of posts necessary for fencing around the garden.

Strawberry Collection

  • Question 35: Determining the number of strawberries picked by one person based on total and comparison values.
  • Example: Students are given the total number of strawberries collected by two people, one has collected more than the other. Students identify the number of strawberries for each individual/person.

Practice Questions

  • Question P1: Counting objects.
  • Question P2: Simple addition equation.
  • Question P3: Identifying the next number in a sequence.

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