practice-1

What is the next number in this pattern?

6, 9, 15, 18, ?

How many whole numbers between 1 and 200 inclusive are multiples of 7, but are not multiples of 4?

When 170 stickers are shared equally between 15 children, each child gets 11 stickers and there are 5 left over.

Which number sentence shows this?

There is something wrong with these scales. The pointer does not start at 0 kg when empty. Apart from this the scales work normally. 2 identical bags of sand are placed on the scales. The pointer makes less than a full turn.

What is the mass of one bag of sand?

Three different boxes are weighed in pairs. Different pairs have combined weights of 33 kg, 34 kg and 51 kg as shown.

When the three boxes are weighed together, what is their combined weight?

Ethan and Zara both round the number 8,070,865.

Ethan rounds the number to the nearest million. Zara rounds the number to the nearest hundred thousand.

What is the difference between their answers?

The bar chart shows the books read by Ava.

Here are three statements about the chart:

1. Jun had more books than Mar.

2. Jan had the lowest books.

3. Apr had more than twice as much books as May.

Which of these statements are correct?

Here is a shape made of black and white parts. What is the total area that is black?

What is the sum of the number of faces, the number of edges and the number of vertices of a prism with a pentagonal base?

Oscar subtracts the smallest three-digit whole number from the largest four-digit whole number.

What is the answer?

Isla bought 6 pies to share.

• Isla ate the rest

• Grace ate 1 pie

• Oscar ate 3 pies

• Max ate 1 3/5 pies

• Finn ate 1/5 pies

How much more pie did Oscar eat than Max?

Consider the fractions: 5/6, 7/8, 3/4, 4/5.

Here are three statements:

1. 5/6 + 7/8 = 41/24.

2. 5/6 is greater than 3/4.

3. 7/8 + 3/4 = 12/8.

Which of these statements are correct?

Each symbol represents a different number.

☆, ○, △ each represent a different value.

If:

4 × ☆ = 20

○ = ☆ + 10

△ = ○ − 6

What is △?

Chen is making a mixed fruit drink for a party. He puts some strawberry juice into the jug, as shown.

He then adds 7 times as much lemonade.

How many millilitres of fruit drink does Chen make?

The digits below are shown in calculator-style (seven-segment display), like on a digital clock.

What type of line symmetry does the digit 5 have?

The shape above is rotated clockwise into the position shown below. Through what angle has it been rotated?

In our number system, the value represented by a digit depends on its position. For example, in the number 456, the digit 5 represents 50.

In the number 900,600, how many times larger is the value represented by the digit 9 than the value represented by the digit 6?

Noah divides a white canvas into equal sections.

He fills some sections orange, as shown.

Noah then fills 2/5 of the whole canvas yellow.

Finally, he fills the rest of the canvas mint.

How many sections does he paint mint?

The diagram shows a net that can be folded into a cube. Each square is labelled with a number.

When this net is folded into a cube, which number will be on the face opposite to 6?

Emma had $20.

Emma gave some to Liam.

Liam then gave half of what he had left to Oliver.

Oliver gave two thirds of what he was given to Jason.

Jason received $5.

How much did Emma give to Liam?

Priya needs 1800 g of sugar. Priya places a bowl of sugar on a kitchen scale. The bowl weighs 450 g when empty.

The scale below shows the total weight.

How much more sugar does Priya need?

Mia has red, yellow, blue and green buttons in a jar. There are twice as many yellow buttons as red buttons.

If Mia takes one button out without looking:

the probability of red is 0.15

the probability of blue is 0.25

What is the probability that Mia takes out a green button?

James makes shapes using identical rectangular cards, each with the letter N on it.

James arranges 2 cards to make Shape X and 3 cards to make Shape Y, as shown below.

The perimeter of Shape X is 88 cm and the perimeter of Shape Y is 122 cm.

What is the length of each card?

In a 'magic square', each row, column and diagonal add up to the same total. Some numbers are missing.

What is the missing number at ?

Jamie has a spinner split into 5 equal sections (6, 4, 2, 3, 7).

Jamie spins and lands on 3. Mia will spin once.

Which statements are correct?

X. The probability that Jamie and Mia's scores add up to more than 7 is 3/5

Y. The probability that Mia's number is greater than Jamie's is 2/5

Z. The probability of Mia getting an odd number is 3/5

Maya's digital watch reads 2200.

What is the time half an hour later, in 12-hour format, in 12-hour format?

Mia starts drawing an accurate copy of this five-sided shape.

What is the size of angle S?

Images are not drawn to scale.

Sophie draws this shape. The outer rectangle is 8 cm wide and 12 cm tall. A notch is cut from the right side. The notch is 5 cm tall.

Some side lengths are not shown on the diagram. Work out the missing lengths first.

What is the perimeter of the shape?

Oscar is making a pattern out of white and black tiles. The pattern isn't finished yet.

They want the finished pattern to have one vertical line of symmetry.

What is the smallest number of tiles they need to add onto the right of the pattern?

Sophie leaves Los Angeles on Monday at 1900 local time on a 5-hour flight to New York. She spends 12 hours in New York. She then catches a 6-hour flight to London. Los Angeles is 8 hours behind London.

What time is it in London when Sophie arrives?

In a game, I collect squares and diamonds.

I get points when I collect a square. The number of points for a square is always the same.

I get a different number of points when I collect a diamond. The number of points for a diamond is always the same.

If I collect 5 squares and 2 diamonds, I get 74 points.

If I collect 1 square and 2 diamonds, I get 26 points.

How many points do I get if I collect 1 square and 1 diamond?

Casey and Quinn each think of a whole number greater than zero and less than 101.

Casey's number is an even number which is a multiple of 5.

Quinn's number is a multiple of 8.

What is the greatest possible sum of their numbers?

Here is a graph showing the growth of a pea plant over 6 weeks. Which statements are true?

1. The lowest height was 5cm.

2. The height on Week 4 was 5cm.

3. The height on Week 1 was 13cm.

Chen has a beaker containing 200 mL of juice, and a flask containing 1 L of water.

He drinks 20 mL from the beaker.

Finally, he pours water from the flask until the beaker reaches the 250 mL mark.

How much water left in the flask?