Year 4 Sats Mathematics Test

1. This is a practice question so you will NOT be marked for it. Tick two multiples of 2.

4

6

9

Checkbox questions are usually multi-choice so can be harder than simple True or False questions.

Explanation

Checkbox questions are usually multi-choice so can be harder than simple True or False questions.

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2. Mary says 'A square is a quadrilateral' Is she correct?

Yes

No

Mary is correct. A square is indeed a quadrilateral. A quadrilateral is a polygon with four sides, and a square fits this definition as it has four equal sides.

Explanation

Mary is correct. A square is indeed a quadrilateral. A quadrilateral is a polygon with four sides, and a square fits this definition as it has four equal sides.

3. From this question, you WILL be marked for your answers. Tick all the properties found in a square.

Four sides

60 degree angles

3D shape

Sides of same length

A square is a two-dimensional shape that has four sides of equal length. It does not have 60-degree angles, as all four angles in a square are right angles (90 degrees). Additionally, a square is not a 3D shape, as it does not have depth or volume. Therefore, the correct properties found in a square are four sides and sides of the same length.

Explanation

A square is a two-dimensional shape that has four sides of equal length. It does not have 60-degree angles, as all four angles in a square are right angles (90 degrees). Additionally, a square is not a 3D shape, as it does not have depth or volume. Therefore, the correct properties found in a square are four sides and sides of the same length.

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4. What shapes does a cuboid have? Tick as many answers as you want.

Squares

Polygons

Rectangles

Triangles

A cuboid has squares and rectangles as its shapes. A square is a special type of rectangle with all sides equal in length, while a rectangle has opposite sides equal in length. Therefore, a cuboid can have squares and rectangles as its shapes. Triangles and polygons are not mentioned as options, so they are not included in the answer.

Explanation

A cuboid has squares and rectangles as its shapes. A square is a special type of rectangle with all sides equal in length, while a rectangle has opposite sides equal in length. Therefore, a cuboid can have squares and rectangles as its shapes. Triangles and polygons are not mentioned as options, so they are not included in the answer.

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5. Match each choice to the number which has the same value.

1/2

3/4

4/5

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6. A cube is a six sided 3D shape. Can you name

another?

A cuboid is another six-sided 3D shape, similar to a cube. However, unlike a cube, a cuboid has rectangular faces instead of square faces. It has six faces, eight vertices, and twelve edges. The length, width, and height of a cuboid can have different measurements, unlike a cube where all sides are equal. Therefore, a cuboid is a valid alternative to a cube when considering six-sided 3D shapes.

Explanation

A cuboid is another six-sided 3D shape, similar to a cube. However, unlike a cube, a cuboid has rectangular faces instead of square faces. It has six faces, eight vertices, and twelve edges. The length, width, and height of a cuboid can have different measurements, unlike a cube where all sides are equal. Therefore, a cuboid is a valid alternative to a cube when considering six-sided 3D shapes.

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7. Fill in the gaps. One third + is one whole. Enter your answer with words.

One third plus two thirds is equal to one whole. This is because when we add one third (1/3) and two thirds (2/3), we are combining three equal parts. Two of these parts (2/3) added to one part (1/3) make a whole, which is equivalent to three thirds (3/3) or one.

Explanation

One third plus two thirds is equal to one whole. This is because when we add one third (1/3) and two thirds (2/3), we are combining three equal parts. Two of these parts (2/3) added to one part (1/3) make a whole, which is equivalent to three thirds (3/3) or one.

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8. 4 pineapples cost £3.40 Calculate the cost of 1 pineapple. Enter in pences using this format: 12p

The cost of 4 pineapples is £3.40. To find the cost of 1 pineapple, we can divide the total cost by the number of pineapples. £3.40 divided by 4 gives us £0.85. Since the answer format requires pence, we convert £0.85 to pence by multiplying it by 100. Therefore, the cost of 1 pineapple is 85p.

Explanation

The cost of 4 pineapples is £3.40. To find the cost of 1 pineapple, we can divide the total cost by the number of pineapples. £3.40 divided by 4 gives us £0.85. Since the answer format requires pence, we convert £0.85 to pence by multiplying it by 100. Therefore, the cost of 1 pineapple is 85p.

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9. Work out this BODMAS problem. 58 + 34 - (9 + 2) x 2

To solve the expression:

58 + 34 - (9 + 2) x 2

You should follow the order of operations (PEMDAS/BODMAS):

1. First, calculate within the parentheses:

9 + 2 = 11

2. Then, perform the multiplication:

11 x 2 = 22

3. Now, you can proceed with the addition and subtraction from left to right:

58 + 34 - 22 = 92 - 22 = 70

So, the result of the expression is 70.

Explanation

To solve the expression:

58 + 34 - (9 + 2) x 2

You should follow the order of operations (PEMDAS/BODMAS):

1. First, calculate within the parentheses:

9 + 2 = 11

2. Then, perform the multiplication:

11 x 2 = 22

3. Now, you can proceed with the addition and subtraction from left to right:

58 + 34 - 22 = 92 - 22 = 70

So, the result of the expression is 70.

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10. The ______ of a function at a point represents the instantaneous rate of change of the function at that point.

The derivative of a function measures how much the function's output changes in response to an infinitesimally small change in its input. Geometrically, it represents the slope of the tangent line to the function's graph at a given point. The concept of the derivative is fundamental to calculus and has numerous applications in various fields, including physics, engineering, and economics.

Explanation

The derivative of a function measures how much the function's output changes in response to an infinitesimally small change in its input. Geometrically, it represents the slope of the tangent line to the function's graph at a given point. The concept of the derivative is fundamental to calculus and has numerous applications in various fields, including physics, engineering, and economics.

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