2024 SATS
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Questions and Answers

Under the Open Government Licence v3.0, what is the correct attribution to include when reusing material developed by the Standards and Testing Agency?

  • ‘Contains material developed by the Standards and Testing Agency for 2024 national curriculum assessments and licensed under Open Government Licence v3.0’ (correct)
  • ‘Licensed under Open Government Licence v3.0’
  • ‘Copyright Standards and Testing Agency’
  • ‘Sourced from SATs-Papers.co.uk’

According to the provided text, what is the primary condition for schools to reuse test materials in their entirety without seeking additional permissions?

  • If the materials are for teaching purposes as defined in the Copyright Designs and Patents Act 1988 (CDPA). (correct)
  • If the materials are used for commercial purposes.
  • If the materials are re-distributed to other schools.
  • If the materials have been modified and adapted.

What action should be taken if a user wants to reuse third-party copyright content found within the test materials, and their intended use is not expressly permitted under the Copyright Designs and Patents Act 1988 (CDPA)?

  • The user must obtain permission from the relevant copyright owners or remove/replace the content with appropriately licensed material. (correct)
  • The user must cite the Standards and Testing Agency.
  • Re-use of third-party content is always permitted under the Open Government Licence v3.0.
  • The user must obtain permission from the Standards and Testing Agency.

Where can one locate the '2024 key stage 2 tests copyright report' to identify the copyright owners of third-party content within the test materials?

<p>The text does not specify where to locate this report. (A)</p> Signup and view all the answers

If a school intends to use a figure from the test materials in a way that falls outside the exceptions defined in the Copyright Designs and Patents Act 1988, what steps should they take?

<p>Replace the figure with appropriately licensed material or obtain permission from the figure's copyright holder. (A)</p> Signup and view all the answers

A triangle is drawn on a grid, and a vertical mirror line is placed to its right. Which transformation accurately describes the reflection of the triangle across the mirror line?

<p>The reflected triangle will be congruent, maintaining the same size and shape but with a reversed orientation, and will be on the opposite side of the mirror line. (A)</p> Signup and view all the answers

Amir purchases two fruits from the cafeteria and pays with a £2 coin. He receives £1.50 in change. Which calculation determines the combined cost of the two fruits?

<p><code>£2.00 - £1.50</code> (D)</p> Signup and view all the answers

Layla's basketball scores from her first three games are represented on a graph. What information is essential to accurately interpret and compare her performance across the games?

<p>The specific type of graph used (e.g., bar graph, line graph) and how the axes are labeled. (C)</p> Signup and view all the answers

A school is organizing a fun run to raise money. They estimate that each participant will run an average of 5 kilometers. What additional piece of information is most crucial for them to estimate the total distance run by all participants?

<p>The total number of participants in the fun run. (B)</p> Signup and view all the answers

A recipe for cookies calls for $\frac{2}{3}$ cup of flour. If you want to make half of the recipe, what fraction of a cup of flour do you need?

<p>$\frac{1}{3}$ (B)</p> Signup and view all the answers

A rectangular garden has a length of 8 meters and a width of 6 meters. A path of 1 meter wide is built around the garden. What calculation is needed to find the total area of the garden including the path?

<p>Increase both the length and width of the garden by 2 meters and then calculate the area. (A)</p> Signup and view all the answers

A shop sells bags of marbles. Each bag contains 25 marbles. Sarah wants to give 3 marbles to each of her 18 friends. How many bags of marbles does Sarah need to buy?

<p>3 bags (C)</p> Signup and view all the answers

A train leaves London at 14:50 and arrives in Edinburgh at 19:30. How long does the train journey take?

<p>4 hours and 40 minutes (B)</p> Signup and view all the answers

Which number is both a common multiple of 4 and 5, and a common factor of 80 and 120?

<p>20 (C)</p> Signup and view all the answers

Given the equation $3 \times b - a = 2$, if $a = 13$, what is the value of $b$?

<p>5 (C)</p> Signup and view all the answers

A translation on a coordinate grid moves a point four units to the left. Which of the following translations demonstrates this?

<p>From (5, 2) to (1, 2) (B)</p> Signup and view all the answers

Olivia has two jars of beads, Jar A and Jar B. Jar A has double the number of beads as Jar B. Which statement accurately explains why 25% of the beads in Jar A is the same as 50% of the beads in Jar B?

<p>Because 25% is half of 50%, and Jar A has double the beads of Jar B. (B)</p> Signup and view all the answers

If a shape is translated from coordinates (2, 3) to (6, 3), what type of translation has occurred?

<p>4 units to the right (A)</p> Signup and view all the answers

What value of 'a' would make the following equation true, given that b = 2: $3 \times b - a = 2$?

<p>4 (B)</p> Signup and view all the answers

Jar A contains 100 beads and Jar B contains 50 beads. What percentage of beads should be taken from Jar A to equal 50% of the beads in Jar B?

<p>25% (D)</p> Signup and view all the answers

A shape undergoes three translations: 2 units left, 5 units right, and then 1 unit left. What single translation is equivalent to these three combined translations?

<p>2 units right (D)</p> Signup and view all the answers

What value will correctly complete the equation: $3.207 \times 100 = $ ? $\times 10$?

<p>32.07 (C)</p> Signup and view all the answers

Given the number 9,658,214, which statement is true?

<p>The digit 6 represents 6 millions. (A)</p> Signup and view all the answers

Chen buys four items costing £1.50, £0.70, £1.45, and an unknown amount for butter. She pays with a £10 note and receives £3.85 change. What is the price of the butter?

<p>£3.25 (B)</p> Signup and view all the answers

On a scale from 1 kilogram to 2 kilograms, marked with 1.5 kilograms in the middle, where would 1350 grams be located?

<p>Slightly after the 1 kilogram mark (A)</p> Signup and view all the answers

A hall has 1,250 seats. At 7 pm, 880 seats are filled. At 8 pm, there are 40 empty seats. How many seats were filled between 7 pm and 8 pm?

<p>370 seats (B)</p> Signup and view all the answers

A school has a break from 10:15 am to 10:30 am and lunchtime from 12:40 pm to 1:30 pm each day. What is the total time the school has for breaks and lunchtime in a 5-day week?

<p>6 hours and 15 minutes (C)</p> Signup and view all the answers

Which calculation correctly finds the difference between the product of 12 and 8, and the sum of 25 and 35?

<p>$(12 \times 8) - (25 + 35)$ (D)</p> Signup and view all the answers

If a train travels 235 miles in 3 hours, what is the approximate average speed of the train per hour?

<p>78 miles per hour (B)</p> Signup and view all the answers

Layla scored points in four games. After three games, she scored 4, 10, and 8 points respectively. If her total score after four games is 25, how many points did she score in the fourth game?

<p>3 points (B)</p> Signup and view all the answers

In a number sequence, the numbers increase by the same amount each time. Given the sequence: -11, _, 1, 7, _, 19, what are the two missing numbers?

<p>-5 and 13 (D)</p> Signup and view all the answers

Consider the incomplete multiplication: 5_ x _3 = 7_2. What are the missing digits that make this multiplication correct?

<p>4 and 2 (A)</p> Signup and view all the answers

Olivia is thinking of a number that meets the following criteria:

  • Greater than 236
  • Less than 245
  • Has a 3 in the tens place
  • Is an even number. What number is Olivia thinking of?

<p>238 (A)</p> Signup and view all the answers

A box holds 40 packets of envelopes, and each packet contains 25 envelopes. How many envelopes are in the box?

<p>1000 (B)</p> Signup and view all the answers

What whole number, when rounded to the nearest ten thousand, results in 820,000?

<p>824,999 (D)</p> Signup and view all the answers

Which two of the following calculations have the same answer?
I. $4 \div 10$ II. $40 \div 10$
III. $4 \div 100$
IV. $40 \div 100$ Express this answer as a decimal.

<p>I and IV, answer: 0.4 (D)</p> Signup and view all the answers

Select the missing digits in the following multiplication problem:

   ? 5
×  2 ?
------
  2 7 5
+? 1 0
------
? 3 7 5

<p>1 and 5 (D)</p> Signup and view all the answers

Consider lines AB, CD, GH, and EF. If AB is parallel to CD, and GH is perpendicular to CD, which statement must be true?

<p>GH is perpendicular to AB. (B)</p> Signup and view all the answers

Amina, William, Layla, Chen, and Dev travel to school. Their distances are 1.8 km, 2.4 km, 3.2 km, 1.6 km, and 4.5 km respectively. If Layla starts taking a different route that is 0.7 km shorter, how does this affect the mean distance traveled by the group?

<p>The mean decreases by 0.14 km. (A)</p> Signup and view all the answers

Mrs. Mills plants 940 seeds in trays, with 12 seeds per tray. Determine the fraction of the last tray that is filled.

<p>$ rac{5}{6}$ (C)</p> Signup and view all the answers

Given the numbers 40, 60, 64, and 100, which pair correctly completes the statements '___ is a square number' and '___ is a cube number'?

<p>100 is a square number, 64 is a cube number. (D)</p> Signup and view all the answers

A baker makes 300 cupcakes. He sells 2/5 of them in the morning and 1/3 of the remainder in the afternoon. How many cupcakes are left unsold?

<p>120 (A)</p> Signup and view all the answers

Sarah has a rectangular garden that is 12 meters long and 8 meters wide. She decides to build a fence around the garden. If each meter of fencing costs $5, what is the total cost of the fence?

<p>$200 (D)</p> Signup and view all the answers

A train travels at a constant speed of 80 miles per hour. How long will it take the train to travel 520 miles?

<p>6.5 hours (A)</p> Signup and view all the answers

John buys a video game that is on sale for 20% off. The original price of the video game is $45. How much does John pay for the video game after the discount?

<p>$36 (A)</p> Signup and view all the answers

Flashcards

Arithmetic Sequence

Numbers increase by a consistent amount each time.

Multiplication

Finding the product of a number multiplied by itself a specified number of times

Whole Number

A number greater than 0

Rounding

Approximating a number to a nearby value based on a given place value.

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Division

The result of dividing one number by another.

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Decimal

A way to write numbers that are not whole numbers; it includes a decimal point followed by digits.

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Bar Graph

A chart that uses bars to represent data, where the length of the bars is proportional to the values they represent.

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Even Number

A number that is exactly divisible by 2.

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Reflection

A transformation where a shape is flipped over a line, creating a mirror image.

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Mirror Line

A straight line that acts as a 'mirror' in a reflection.

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Change (money)

The amount of money returned after paying for an item with more money than it costs.

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Graph

A visual representation of data showing the relationship between different variables or quantities

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Check your work

To verify the accuracy or correctness of something.

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Method

A set of instructions for solving a mathematical problem.

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Marks available

The resources available to successfully complete tasks or activities.

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Multiplying by 100

Moving the decimal point two places to the right.

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Missing factor

Finding the missing factor in a multiplication equation.

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Place Value

The position of a digit in a number determines its value.

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Kilogram Equivalent in Grams

1000 grams.

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Hall Capacity

The number of seats available.

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Multi-Step Problem

Solve each stage of the word problem

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Seats filled calculation

Subtract previous number of seats filled from the final numbner of seats filled.

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Total Break Time in a Week

Calculating combined duration of breaks.

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Parallel Lines

Lines that always maintain the same distance and never intersect.

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Perpendicular Lines

Lines that intersect at a right angle (90 degrees).

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Mean

The average of a set of numbers, found by adding all the values and dividing by the number of values.

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Fraction of Last Group

A way of finding how much of the last group is filled.

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Square Number

A number that can be obtained by squaring an integer.

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Cube Number

A number that can be obtained by cubing an integer.

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Show Your Method

A method to show all the steps to a calculation.

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Distance (km)

A distance measured in kilometers.

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Copyright Permission

Permission required for using copyrighted material from third parties in educational resources, unless covered by exceptions.

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Test Material Reuse

Educational institutions can reuse test materials for teaching purposes under specific conditions.

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Open Government Licence

A license that allows you to use and share information freely, following specific terms and conditions.

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Attribution

A statement acknowledging the source of the material used.

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Assessment Helpline

Contact information for inquiries about national curriculum assessments.

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Common Multiple

A number that is a multiple of two or more numbers.

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Common factor

A number that divides two or more numbers without a remainder.

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Equation

A mathematical statement that shows the relationship between two expressions using symbols like =, >, or <.

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Translation

Reduce the size of a shape by the same scale factor from a center point.

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Coordinate Grid

A flat surface that extends infinitely in all directions.

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Coordinate Grid Use

The coordinate grid is used for mapping points in space.

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25%

One part out of four equal parts. Equivalent to 0.25 or 25%.

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50%

One part out of two equal parts. Equivalent to 0.50 or 50%.

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Study Notes

  • This is the Key Stage 2 Mathematics Paper 2: reasoning test for the 2024 national curriculum assessments

Instructions

  • Calculators are not allowed for this test.
  • There are 40 minutes to complete the test.
  • Follow the instructions for each question.
  • Work quickly and carefully.
  • Use the space around the question for working out, if needed.
  • Do not write over any barcodes.
  • Some questions have a method box to show the working.
  • Partial marks may be awarded for showing the method.
  • If you cannot do a question, go to the next one and return to it later if there is time.
  • If you finish before the end, go back and check your work.
  • The number under each line at the side of the page tells you the marks available for each question.

Question Examples and Topics Covered

  • Draw the reflection of a triangle in a mirror line, using a ruler.
  • Determine which two fruits Amir buys, given the cost of each fruit, the total paid (£2), and the change received (£1.50).
  • Complete a bar graph to show Layla's points in Game 4, given her scores in the first three games and the total points after 4 games (25).
  • Find the missing numbers in a sequence that increases by the same amount each time. An example sequence is: -11, _, 1, 7, _, 19.
  • Write the missing digits to make a multiplication calculation correct.
  • Determine which number Olivia is thinking of, given it meets the criteria of being: greater than 236, less than 245, having a 3 in the tens place, and being an even number.
  • Find the number of envelopes a box holds if it contains 40 packets, and each packet holds 25 envelopes.
  • Write a whole number in each box to make statements about rounding correct. For example; 18 rounded to the nearest ten is 20.
  • Solve calculations involving division by 10 and 100. Write the answers as a decimal.
  • Circle the two prime numbers that have a difference of 2 from the given list.
  • Complete a table showing the number of children and adults at a childcare center to make it correct, calculating the number of children per adult.
  • Match the shapes W, X, Y, and Z to the correct fraction of a 10x10 square that they cover.
  • Match the name of each 3-D shape to its number of vertices.
  • Calculate the number of pupils in a class: three-quarters voted for Sam, and the remaining 7 voted for Alex.
  • Write the missing number to make a multiplication correct, for example; 3.207 x 100 = [] x 10
  • Tick the statements that are true about the digits in the number 9,658,214.
  • Calculate the price of butter, given other item prices, the amount paid (£10), and change received (£3.85).
  • Draw an arrow on a scale to show 1350 grams.
  • Word problem question: Calculate the number of seats filled between 7 pm and 8 pm, given the hall has 1,250 seats, 880 seats were filled at 7 pm, and there were 40 empty seats at 8 pm.
  • Calculate total break and lunchtime in a 5-day week, given a daily break from 10:15 am to 10:30 am and lunchtime from 12:40 pm to 1:30 pm.
  • Identify parallel and perpendicular lines and tick the correct statements.
  • Calculate the mean distance traveled to school each day, given the distances for five friends.
  • Calculate what fraction of the last tray is filled, given Mrs. Mills has 940 seeds to plant, and she plants 12 seeds in each tray.
  • Use each of the numbers 40, 60, 64, and 100 once to complete the statements which follow.
  • Calculate the missing numbers for the equations; 3 × b – a = 2
  • Identify if translations on a coordinate grid that are four units to the left.
  • Explain a statement about beads in jars. There are 2 jars; Jar A and Jar B. The number of beads in Jar A is double Jar B. Olivia says 25% of Jar A is the same as 50% of Jar B, explain why Olivia is correct.

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