mathematic for year 7 test, Cheat Sheet of Mathematics

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2025/2026

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Year 7 Mathematics
Term 1B 2023
Duration: 50 minutes
Topic:
1. Place Value
2. Properties of Number
3. Arithmetic
4. Estimation & Rounding
Classes: DLK, MBM, AWG, IYA, MJM, DJW
Instructions:
Answer all questions.
Calculators may be used.
The total mark for this paper is 45.
All methods should be shown.
Nickname: ________________________ Form: ________________
Maths teacher: __________________________________________
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Year 7 Mathematics

Term 1B 2023

Duration: 50 minutes

Topic:

1. Place Value

2. Properties of Number

3. Arithmetic

4. Estimation & Rounding

Classes: DLK, MBM, AWG, IYA, MJM, DJW

Instructions: Answer all questions. Calculators may be used. The total mark for this paper is 45. All methods should be shown.

Nickname: ________________________ Form: ________________

Maths teacher: __________________________________________

SECTION B

(Spend about 30 minutes of this section)

1. (^) What is the Highest Common Factor of 12 and 18? Circle the answer below.

Total /

2. (^) Calculate the following below Show all workings :

a) What is the product of โˆ’35 ร— โˆ’0.2?

b) If the Dividend is 21.2 and Divisor is โˆ’ 3 , what is the quotient rounded to 2 significant figures?

c) Estimate the cost of 150.34 metres of silk at $7.85 per centimetre.

1

1

2

Total

4. (^) What is the Lowest Common Multiple of 462 and 14. Show workings

Total

5.

a) What is the Range of the masses above? Circle the answer below.

b) What is the Median value from the masses above?

c) Another mass is added so that the Median is now 48. What is the value of the new mass? You can use the empty boxes below to help with this question.

1

2

2

7. (^) Write down the number below numerically and in words.

a)

b)

1

1

Total /

8. (^) A laser can fire every 0.004 seconds. How many times can it fire in 3 minutes?

Show workings

Total

Words

Numerals

9.

What is the value of b? Circle the correct answer.

50 20 โˆ’ 50 โˆ’ 20

Total /

10. (^) a) Estimate the calculation below by rounding each value to 1 significant

figure. may use a calculator and show workings โˆš8.7 + 5.8^3 8.3 โˆ’ 2.

b) Using your calculator, evaluate the calculation below: Write down all the digits on your calculator

โˆš8.7 + 5.8^3

c) By comparing your answer in part a) to part b), is your estimate an Overestimate or Underestimate?

2

1

1

Total / End of Section B /

3. (^) ๐‘ฅ๐‘ฅ, ๐‘ฆ๐‘ฆ, and ๐‘ง๐‘ง are represented in Product of Prime Factors in Index Form. What is the Highest Common Factor of ๐‘ฅ๐‘ฅ, ๐‘ฆ๐‘ฆ, and ๐‘ง๐‘ง. Hint, use a Venn Diagram to organize

๐‘ฅ๐‘ฅ = ๐‘Ž๐‘Ž 3 ร— ๐‘๐‘ 3 ร— ๐‘๐‘ 3 ๐‘ฆ๐‘ฆ = ๐‘Ž๐‘Ž 4 ร— ๐‘๐‘ 3 ร— ๐‘๐‘ ๐‘ง๐‘ง = ๐‘Ž๐‘Ž 2 ร— ๐‘๐‘ 2 ร— ๐‘๐‘ 2

Total /

4. Rewrite this table so they still give the same number but with a single digit in each row:

Total

5. True or False:

By the Distributive Law : IF

3(1.5 + 2.25)^ โ‰ก 4.5 + 6.

THEN

3 ๐‘ฅ๐‘ฅ(1.5 + 2.25๐‘ฅ๐‘ฅ) โ‰ก 4.5๐‘ฅ๐‘ฅ + 6.75๐‘ฅ๐‘ฅ 2

Circle one: TRUE FALSE Total /

6. (^) Tilly is asked to check if 724 537 846 324 932 is a square number without using a calculator. She looks at the number and moments later decides it cannot be a s quare number. What could Tilly have noticed? Answer in complete sentences

Total /

7. (^) What is the fraction of integers that are square numbers between 1 and 10000? Show workings

Total