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Canada

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October 19, 2023

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Mathematics

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Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Find all the factors of the given numbers.

a) 81

b) 245

c) 564

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Find all the factor pairs of the given numbers.

a) 98

b) 148

476

2, 4, 6, 8, 14, 28,

34, 119, 236

512

4, 6, 8, 12, 16, 24,

64, 256, 32

614

2, 6, 7, 28, 107,

307, 127, 14

215

5, 43, 35, 15

25, 45

160

3, 5, 16, 10, 20,

24, 32, 60, 80

380

2, 3, 5, 10, 15, 19,

20, 95, 76, 120

25, 45

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Find the first 10 multiples of the following numbers. a) 43

b) 27

c) 55

d) 62

e) 79

f) 82

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Write all the multiples of 17 greater than 40 but less than 210. Identify and tick all the multiples of 23 greater than 50 and less than 300. What number am I?

I am a two digit number. I am multiple of 4. I am less than 40. The sum of my digits is 9. Write the first 10 multiples of 15 that are even.

322 252

351

276

322

115

161

207

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Find the prime factors of 5225 by factor tree method and write the factors in index form. Find the prime factors of 3675 and write them in index form. Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Find the prime factors of 5662 and write them in index form.. Write the given index form of prime factors in expanded form. a) 25 34 72

b) 53 114 111

Write the given in index form.

a) 2 2 2 3 5 5 5 7 7 7 7 b) 5 5 11 11 11 11 Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Find HCF of the following by prime factorization method. a) 742, 516, 198

b) 60, 245, 195

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) 95, 520, 715

b) 168, 218, 362

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Find LCM of the following by prime factorization method. a) 640, 380, 450

b) 170, 480, 960

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

c) 78, 244, 312

d) 45, 90, 135

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial A shopkeeper has 640 pencils, 360 erasers and 440 sharpeners. He wants to make pack so that the number of pencils, erasers and sharpener in each pack is equal. What is the greatest number of packs he must make so that no pencil, eraser or sharpener is left? Bus A arrives at the bus stop every 125 minutes and the bus B arrives every 95 minutes. They are both at the bus stop now. In how many minutes will they both be at the bus stop again? Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) 21

b) 44

c) 77

d) 98

A square-shaped room has a side length of 4.5 m. Find the area of the room. Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Represent the following statements in form of integers. a) Ahad borrow Rs 75 from his friend.

b) Mohid travel 3 km to east and Subhan travel 3 km in opposite direction. c) The temperature of Murree in morning is 15oC and in the evening temperature decreased by 5 oC.

Write all the integers between -5 and +11.

Show the given integers on a number line.

a) -12, -4, +6, -2, 16, -5

b) -3, -1, 0, +4, -11, +13

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Compare the absolute values of the given integers and find the smallest and largest integer. a) +6, -4, +14, -15, -23

b) -10, -2, +8, 0, -1, -5

Arrange the given integers in ascending and descending order. a) -6, +6, -9, +14, -15

Ascending order: Descending order: b) -13, +15, -2, +1, 17, -19

Ascending order: Descending order: c) -3, +7, -14, -17, -11, +16

Ascending order: Descending order: d) -16, +12, -29, +34, -43, -56

Ascending order: Descending order: Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) Add -5 and +11.

b) Add +7 and -16.

c) Subtract -1 from +8.

d) Subtract -19 from -14.

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial e) Subtract -19 from -34 and then add -13 to the result. The result of subtraction of two integer is -45. If the first integer is -23, then find the other integer.

The temperature of Lahore is 32oC. After 4 hours the temperature is decreased by 7oC. What is the new temperature?

The sum of two integers is +108. If the first integer is -67, then find the other integer. Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Verify closure property and commutative property of addition for the following integers. a) -2 and -7

b) -22 and + 44

Verify the associative property of addition for the following integers.

-7, +4 and -11

What is the additive identity of integers?

Find the additive inverse for -4 and +15.

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial If there are 16 erasers in a box and there are 24 boxes, how many erasers are there altogether?

Solve the following.

a) Find the product of −3 and +11.

b) Multiply -18 and -22.

c) Find the product of absolute value of -13 and +14. d) Find the product of +3, -7 and -23

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Solve the following.

a) Divide -24 by -4.

b) Divide the absolute value of -15 by +5.

c) The product of two numbers is 56. If one number is -7, find the other. d) Divide the greatest 2-digit number by -11.

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) +6 and -13

b) -15 and -11

Verify the associative property of multiplication for the following integers.

+8, -10, -13

What is the multiplicative identity of integers?

Find the multiplicative inverse for +3 and -7.

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) +7 12 6 + 10 b) 2.4 + 7 14 – 4 13

c) 6 + [23 – {24 2( + 4)}] d) 1

+ [ 4.5 – {6.2 (

+ 4

)}]

e) Hadeed bought 5 kg of apples, 3 kg of melons, 8 kg of water melons and half kg of grapes. If the cost of one kg of apple is Rs 450, one kg of melon is Rs 85, 1 kg of water melon is Rs 48 and one kg of grapes is Rs 550, what amount Hadeed paid to shopkeeper? Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Percentage

Find the value of the following.

a) 45% of 650

b) 30% of 120

c) 8% of 20

d) 2% of 50

e) 55% of 40

f) 90 % of 800

Umar got 89% marks in exams. If the total mark are 750, how many marks did Umar get? Farhan weighs 56 kg. If the mass of his younger sister is 5% less than Farhan, then what is the mass of his sister?

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) 45 as percentage of

110

b) 700 as percentage of

1100

c) 5 as percentage of 50

d) 2.2 as percentage of

10.5

e) 55 as percentage of

120

f) 90 as percentage of

100

g) 7.5 as percentage of

h) 15 as percentage of 75

i) 30 as percentage of

150

j) 105 as percentage of

315

k) 40 marks out of 75

5 litres out of 35 litres used

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial A milk man sold 68 litres of milk out of 140 litres. What percentage of milk he has sold? Ahad bought 75 kg of rice. He used 35 kg of rice. What percentage of rice is unused? A story book has 320 pages. Hira read 50 pages. What percentage of pages are left unread? Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

a) 15 out of 30 and 20 out of 70 b) 60 out of 75 and 10 out of 20 c) 100 out of 450 and 140 out of 300 d) 76 out of 90 and 80 out of 100 Calculate the increase and decrease in quantity.

a) 50 increased by 15% b) 700 decreased by 17%

c) 10 decreased by 10% d) 8 increased by 20%

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Hadia spends Rs 8000 on grocery from her salary of Rs 34000 and Huma spend Rs 6000 from her salary of Rs 30000. Compare by using percentage and tell who spent more. The price of the scarf increased by 12% from its original price. If the original price is Rs 1500, what is the new price of the scarf?

The original price of the laptop is Rs 95000. If the price decreased by 21%, what is the price of the laptop now?

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Find the ratio of the following.

a) 50 to 102 b) 705 to 955 c) 34 to 824

Simplify the given ratios.

a) 8 : 24 b) 74 : 84 c) 14: 42

Find the continued ratio for the following ratio.

a) If a: b = 4: 5 and b: c = 7: 8 b) If x : y = 5: 6 and y : z = 1: 2 c) p:q = 5: 7 and q : r = 6: 12 d) m : n = 7 : 13 and n : o = 9 : 4 Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial The mass of Asad is 45 kg and mass of Ahad is 55 kg. Find the ratio between Asad and Ahad’s mass. Simplify if possible.

A shopkeeper sold 52 kg of sugar and 68 kg of rice. Find the ratio between sugar and rice sold by shopkeeper. Simplify if possible.

The ratio of share of Haris and Imran in business is 4:5 and the ratio of share of Imran and Fahad in business is 7: 4. Find the continued ratio between their shares. Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Express the unit rate for the following.

a) 45 cupcakes in 5

boxes

b) Rs 150 for 3

chocolates.

c) 15 pages read in 10

minutes

d) Rs 240 for 1 dozen

eggs

e) Rs 1050 for 5 litres of

petrol

f) Rs 900 for 9 metres

of cloth

g) Rs 400 for 2.5 litres of

milk

h) 25 kg of rice in Rs

34000

i) Rs 340 for 2 dozen of

bananas

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial Najaf bough 15 kg of chicken in Rs 7500. What is the price of one kg of chicken? Umar’s annual income is Rs 450000. What is his monthly income? A bus covered 25 km in 2.5 hours. What is the speed of the bus per hour? Ahsan bough a pack of 10 litres of oil in Rs 6500. What is price of 1-litre of oil? Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Identify if the given collection of objects is a set or not. Also give reason. a) The collection of first five composite numbers

b) The collection of tasty food restaurant in Lahore c) The collection of books of grade 6

d) The collection of rainbow colours

e) The Islamic months of year that starts with letter R f) {a, r, a, m, y}

g) {9, 10, 11, 12, 13, 14}

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial If T is the set of first 10 multiples of 5 then write true and false for the given statement. a) 5 is the element of set T

b) 10 is not the element of set T

c) 17 is the element of the set T

d) 55 is the element of the set T

Write the cardinality of the given sets.

a) The set of odd numbers between 7 and 15

b) The set of prime number less than 50 but greater than 30 c) {3, 6, 9, 12, 15, 18, 21}

d) {0, 1, 2, 3, 4, 5, 6, 7,…15}

e) {red, blue, orange, green, purple}

f) {zebra, lion, cat, tiger, elephant}

g) {1, 2}

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

All Rights reserved by AFAQ (Association For Academic Quality) Web: www.afaq.edu.pk PH: 042-******** YouTube: afaqofficial Facebook: afaqofficial What is the difference between finite and infinite set. Write five finite and five infinite sets

Is the set of multiples of 8 finite or infinite? Give reason. Is the set of even numbers less than 100 finite or infinite? Give reason. Write five empty sets.

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

Is the set of even prime numbers except 2 empty or singleton? Give reason. Define the universal set with example?

Which one is the universal set? Also show using Venn diagram. a) X = set of prime numbers less than 40 Y = { set of composite numbers less than 30} Z = { set of whole numbers between 1 and 50}

Type Series Subject Grade

Summer Pack NSS (SNC) Mathematics 6

c) M = { the factors of 10} N={ the factors of 25} O = { factors of 50} d) A = The set of natural number B = The set of integers C= the set of whole numbers

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