Full Grade 3 test

Look at where the question marks are. If division is shown as a fraction, the top number is being divided by the bottom number.

• For a missing multiplication factor, divide the product by the known factor.
• For a missing dividend, multiply the divisor by the result.
• For a missing divisor, divide the dividend by the result.

Put your number in place of the question marks and check the whole equation.

The interior angles of every triangle always add up to 180°.

1. Add the measures of the two known angles.
2. Subtract their sum from 180°.
3. The remaining value is the third angle of the triangle.

Formula: third angle = 180° − first angle − second angle.

Count all the edges of a cube and multiply by the length of one stick.

Read the answer names to see whether to compare angles or sides.

• A right-angled triangle has a right angle, often marked with a small square.
• An obtuse-angled triangle has one angle larger than a right angle.
• An acute-angled triangle has all angles smaller than a right angle.
• An equilateral triangle has all 3 sides equal.
• An isosceles triangle has two equal sides.
• A scalene triangle has all sides of different lengths.

Matching marks on sides mean matching lengths. Turning a triangle does not change its type.

Check both endpoints. For a radius, one must be at the centre and the other on the circle, not inside it.

Subtract the difference shown after the equals sign from the first number. The result is the missing subtrahend. Check it in the original calculation.

Multiply the unit price by the quantity to get the total cost. Subtract this total from the amount paid. Check that cost plus change equals the payment.

List the numbers from 1 to 6 that satisfy each event. At most includes the boundary number. Compare the numbers of suitable outcomes.

Compare the opening with a right angle. Also check whether the sides form one straight line. The lengths of the sides do not determine the angle type.

Every album page has the same number of stickers. Multiply the stickers on one page by the number of pages.

Check that you included all the pages stated in the question.

The remainder is what is left after an earlier operation. Find that amount first, then divide it into the specified number of equal groups. The starting amount and the remainder are different.

You know the total number of balls and how many fit in one box. Divide the total by the amount in one box to find the number of boxes.

Check: number of boxes × balls in one box = all the balls.

The divisor, the number after ÷, is missing. Find it by dividing the starting number by the result shown.

For example, for 48 ÷ ? = 6, the missing divisor is 48 ÷ 6 = 8. Check that 48 ÷ 8 = 6.

Distinguish a flat face, a corner point and the line where two neighbouring faces meet.

Check both operations: addition and subtraction. Choose the sign that gives the number on the right.

Multiply the number of equal groups by the amount in one group. Then add the loose items. Do not multiply the loose items by the number of boxes.

Equal sharing gives each child the same number of biscuits. Divide the total number of biscuits by the number of children.

Check: one child’s amount multiplied by the number of children must give all the biscuits.

The dividend, the number before ÷, is missing. Find it by multiplying the divisor by the result.

For example, for ? ÷ 7 = 6, the dividend is 7 × 6 = 42. Check by dividing your number by the given divisor.

Use multiplication to work out a division. Find the number that, multiplied by the divisor, gives the starting number.

For example, 42 ÷ 7 = 6 because 6 × 7 = 42. The divisor is the number after ÷.

Find the missing factor by dividing the product by the known factor. This works whether the question mark is before or after the multiplication sign.

For example, for ? × 7 = 42, calculate 42 ÷ 7 = 6. Put the number back and check by multiplying.

The axis lies between the point and its reflection. The distances on each side are equal. Split the full distance into two equal parts.

Use multiplication to work out a division. Find the number that, multiplied by the divisor, gives the starting number.

For example, 42 ÷ 7 = 6 because 6 × 7 = 42. The divisor is the number after ÷.

Multiply each digit by the place value above it, then add the parts. A zero means there are no units of that place.

Find the missing factor by dividing the product by the known factor. This works whether the question mark is before or after the multiplication sign.

For example, for ? × 7 = 42, calculate 42 ÷ 7 = 6. Put the number back and check by multiplying.

The numerator is the number written above the fraction bar. It shows how many equal parts are taken.

The denominator is written below the fraction bar, so do not confuse it with the numerator.

Rule: select the top number of the fraction.

Each bed has the same number of flowers. Divide the total number of flowers by the number in one bed.

The result is the number of beds. Check: number of beds × flowers in one bed = all the flowers.

Multiplying by 1 leaves the number unchanged. One group of that size has the starting number of objects.

For example, 24 × 1 = 24. Choose the starting number.

Use multiplication to work out a division. Find the number that, multiplied by the divisor, gives the starting number.

For example, 42 ÷ 7 = 6 because 6 × 7 = 42. The divisor is the number after ÷.

Count the scale intervals from zero to the top of bar A. Divide its known value by that number to find one interval’s value. Then count the intervals from zero to the question mark.

Follow the stated order. Find the reflection first, then begin the translation from that reflected point, not from P.

Each child received the same number of balloons. Multiply the number of children by the balloons for each child.

The multiplication adds the equal groups of balloons.

Imagine extending the lines in both directions. Parallel lines have the same direction, keep a constant separation and never meet.

Mentally fold the net. Opposite faces lie across from each other and do not share an edge.

Round each option separately. Check the tens digit and remember to round up at the halfway point.

Imagine folding the rectangle along the chosen line. Both halves must match exactly, not merely have equal areas.

Multiplication adds equal groups. For example, 6 × 7 means six groups of seven.

Use the times table or count 7, 14, 21, 28, 35, 42. You can swap the factors: 6 × 7 = 7 × 6.

Subtract ones from ones, tens from tens, hundreds from hundreds and thousands from thousands. Start at the rightmost column.

Compare the angle at the intersection with a square corner of a notebook or set square. Rotating the drawing does not change perpendicularity.

Calculate each expression and compare its result with the number in the question.

Multiplying by 1 leaves a number unchanged, multiplying by 0 gives 0, and multiplying by 10 makes it ten times as large. Work out any division separately and compare its result too.

Find the neighbouring multiples of one thousand and compare the distances to them. If the distances are equal, choose the higher one.

A fraction tells you how many equal parts of the whole are shaded.

1. Count all the equal parts, shaded and white. Put that number below the fraction line.
2. Count only the shaded parts. Put that number above the line.

For example, 2 shaded parts out of 5 give the fraction 2/5.

Think about which position makes the greatest difference to a number’s value when its digit changes.

Multiplication adds equal groups. For example, 6 × 7 means six groups of seven.

Use the times table or count 7, 14, 21, 28, 35, 42. You can swap the factors: 6 × 7 = 7 × 6.

Look at the centre of the marked dot, not its letter. A point on the circle must lie exactly on the circular line.

Find the number of faces on one cube and multiply by the number of cubes. Count all faces, not only those visible.

Start with the ones. If their sum is at least 10, write the ones digit and carry 1 to the tens column. Include that carried ten.

Find the correct change by subtracting the cost from the payment. Then subtract the change already returned. It is easiest to work in cents and write the answer in euros and cents.

To borrow across zeros, find the nearest nonzero digit on the left and reduce it by 1. Intervening zeros become 9 and the place being borrowed into receives 10 units.