Classify the number 0 as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Classify the number −12.6439 as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Classify the number −1/2 as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Classify the number 6.36 as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Classify the number π as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Classify the number 0.77777... (repeating) as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Classify the number 0.7457217... as natural, whole, integer, rational, or irrational. Indicate by putting a tick (✓) on all that apply.

Select all the prime numbers from the following set: 2, 3, 5, 9, 15.

Select all the composite numbers from the following set: 4, 6, 9, 13, 17.

Select all the even numbers from the following set: 2, 3, 7, 10, 15.

Find the sum of 387 and 45.

Compute 4906 + 274 + 38.

Compute 1574 − 698.

Find the difference between 9327 and 459.

Subtract 385 from 2500.

Multiply 25 by 421.

What is the product of 41 and 20?

What is 2/3 of 60?

Compute 72 ÷ 8.

Divide 36 by 9.

What is the quotient when 20 ÷ 4?

What is the remainder when 40 ÷ 3?

Which of the following shows the Distributive Law/property?

Identify the law/property used: (2 + 1) + 4 = 2 + (1 + 4).

Identify the law/property used: 3 + 7 = 7 + 3.

Identify the law/property used: 3(2 + 5) = 3 × 2 + 3 × 5.

Identify the law/property used: 2 × 5 = 5 × 2.

Identify the law/property used: 3 × (2 × 5) = (3 × 2) × 5.

Compute 2 + 2 using directed numbers.

Compute −2 − 2 using directed numbers.

Compute −5 + 3 using directed numbers.

Compute 5 − 3 using directed numbers.

Compute −2 + 2 using directed numbers.

Multiply the directed numbers: (+2)(+5).

Multiply the directed numbers: +3 × −4.

Multiply the directed numbers: (−4)(+5).

Multiply the directed numbers: (−5)(−3).

Multiply the directed numbers: (−3)(−2)(+5).

Multiply the directed numbers: (+2)(−4)(−3)(−10).

Divide the directed numbers: +15 ÷ +3.

Divide the directed numbers: −20 ÷ +2.

Divide the directed numbers: +16 ÷ −8.

Divide the directed numbers: −20 ÷ −4.

Simplify: (−2^3)(−5) + (+3)(−4) − (−10)(2).

Simplify: $$(−2)^2 (5) + (+3)(−4) − (10)(−2)$$ .

Simplify: $$(−2)(−5) + (+3)(−4) − (10)(−2^2)$$ .

Simplify using BODMAS: 7 × 5 − 12 ÷ 4 + 3.

Simplify using BODMAS: 11 × 2 − 9 ÷ 3 + 7.

Simplify using BODMAS: 2 + 8 × (3 + 6).

Simplify using BODMAS: $$10 \times 4 - 2^2 + 2 \times (15 - 9)$$ .

For questions 1 to 13 encircle the correct answer: Which number is irrational?

For questions 1 to 13 encircle the correct answer: Which number is irrational?

For questions 1 to 13 encircle the correct answer: Which number is odd?

For questions 1 to 13 encircle the correct answer: Which number is even?

For questions 1 to 13 encircle the correct answer: Which number is prime?

For questions 1 to 13 encircle the correct answer: Which of the following shows distributive property?

For questions 1 to 13 encircle the correct answer: Which of the following shows commutative property?

For questions 1 to 13 encircle the correct answer: Which of the following shows associative property?

For questions 1 to 13 encircle the correct answer: Which property is used in 8 + (9 + 5) = (8 + 9) + 5 ?

For questions 1 to 13 encircle the correct answer: Which property is used in 5 + 9 = 9 + 5 ?

For questions 1 to 13 encircle the correct answer: Which property is used in 5 × (3 − 7) = (5 × 3) − (5 × 7) ?

For questions 1 to 13 encircle the correct answer: Simplify: $$2\times5-16\div4+7=$$

For questions 1 to 13 encircle the correct answer: Simplify: $$5\times4\div2-3^2+2\times(15-9)$$

Classify each of the following numbers as either natural, rational or irrational, by ticking (✓) all that apply: For i) $$0.5$$ , select all correct classifications.

Classify each of the following numbers as either natural, rational or irrational, by ticking (✓) all that apply: For ii) $$5$$ , select all correct classifications.

Classify each of the following numbers as either natural, rational or irrational, by ticking (✓) all that apply: For iii) $$0.666\ldots$$ , select all correct classifications.

Classify each of the following numbers as either natural, rational or irrational, by ticking (✓) all that apply: For iv) $$2.645\ldots$$ , select all correct classifications.

Showing all steps in your working, simplify: $$2[15-(52\div13\times2)-(9-6)^2]+8$$

Showing all steps in your working, simplify: $$\dfrac{4^2-(3-5)\times2}{4^2-6}$$

Write the set using the listing method for {x | x is a natural number between 3 and 8}.

Write the set using the listing method for {x | −3 < x < 6, x is an even number}.

Write the set using the listing method for {x | x is a month starting with B}.

Write the set using the listing method for {x | x is a letter in "MATHEMATICS"}.

Find the cardinal number of the set K = {a, l, g, e, b, r}.

Find the cardinal number of the set A, where A is the set of positive integers less than $$6$$ .

Find the cardinal number of the set $$\varnothing$$ .

Find the cardinal number of the set B = {x | x is a letter in "STATISTICS"}.

State whether the sets are equal or not: A = $$\{a,b,c,d\}$$ and B = $$\{a,c,d,b\}$$ .

State whether the sets are equal or not: P = $$\{2,4,6\}$$ and Q = $$\{x\mid x$$ is an even natural number less than $$10\}$$ .

Which option lists all the subsets of $$\{1,2\}$$ ?

Which set lists the elements of the subset of A = $$\{-5,\,1,\,\sqrt{2},\,3,\,\tfrac{10}{3},\,7\}$$ consisting of natural numbers?

If X = $$\{1,3,5\}$$ and Y = $$\{2,3,4,5,6\}$$ , is $$X \subset Y$$ ?

For A = $$\{2,5,9\}$$ and B = $$\{1,3,4,6\}$$ , which option lists $$A \cup B$$ ?

For A = $$\{2,5,9\}$$ and B = $$\{1,3,4,6\}$$ , which option lists $$A \cap B$$ ?

For X = $$\{1,3,5\}$$ and Y = $$\{2,3,4,5,6\}$$ , which option lists $$X \cap Y$$ ?

For A = $$\{3,6,9\}$$ and B = $$\{1,3,4,6,9\}$$ , which statement is true?

If the universal set U, with subsets M and N, are described as follows: U = {x: 0 ≤ x ≤ 15, x is natural}, M = {x | x is an odd number less than 15}, N = {x | x is a prime number less than 15}. List the elements of set U and state n(U).

Using the same definitions of U, M, and N, list the elements of set M.

Using the same definitions of U, M, and N, list the elements of set M'.

Using the same definitions of U, M, and N, list the elements of set U ∪ N.

Using the same definitions of U, M, and N, list the elements of set M ∩ N.

Using the same definitions of U, M, and N, list the elements of set M − N.

Based on the definitions of U, M, and N, choose the statement that correctly describes the relationship among the three sets.

In a group of 100 persons, 72 people can speak English and 43 can speak Arabic. How many can speak both English and Arabic?

In a group of 100 persons, 72 people can speak English and 43 can speak Arabic. How many can speak English only?

Some students were asked which sports they enjoy from Football, Hockey, and Rugby. Their responses were represented on a Venn diagram with three overlapping circles labeled Hockey, Rugby, and Football. The numbers shown are: Hockey only = 5, Rugby only = 3, Football only = 4, Hockey ∩ Rugby (not Football) = 5, Hockey ∩ Football (not Rugby) = 14, Rugby ∩ Football (not Hockey) = 17, and all three = 31. How many students enjoy all three sports?

Using the same sports Venn diagram description, how many students enjoy football and rugby?

Using the same sports Venn diagram description, how many students were asked altogether?

Using the same sports Venn diagram description, how many students enjoy hockey and rugby but not football?

Determine if the statement is True or False: 4 ∈ {3,4,6}.

Determine if the statement is True or False: 3 ∉ {3,4,6}.

Determine if the statement is True or False: {1,2} ⊂ {1,3,6}.

Determine if the statement is True or False: {6,3,5} = {3,5,6}.

Which of the Venn diagrams below correctly shows A' ∩ B'? The three diagrams a, b, and c each show two overlapping circles A and B inside a rectangle. In diagram a, the two circles are shaded. In diagram b, both circles and their overlap are shaded. In diagram c, only the region outside both circles is shaded.

For A = {1,2,3}, how many subsets does A have?

Using the listing method, for S = {x | x is an even integer between -5 and 5}, state n(S).

Using the listing method, for S = {x | x is a month starting with 'J'}, state n(S).

Using the listing method, for S = {x | x is a letter in the word 'COLLEGE'}, state n(S) (distinct letters).

If A = {1,2,3,5,10} and B = {-3,2,3,5,15,20}, find A ∪ B.

If A = {1,2,3,5,10} and B = {-3,2,3,5,15,20}, find A ∩ B.

If A = {1,2,3,5,10} and B = {-3,2,3,5,15,20}, is A ⊂ B?

If A = {1,2,3,5,10} and B = {-3,2,3,5,15,20}, which elements are in A only (and not in B)?

The elements of each set are shown in a Venn diagram with two overlapping circles A and B in rectangle U. The numbers are placed as follows: A only has {1,2,3}; A ∩ B has {5,6}; B only has {7,8,9,10}; outside both has {4,11,12}. State n(A).

Using the same Venn diagram description, state n(U).

Using the same Venn diagram description, state n(B').

Using the same Venn diagram description, state n((A ∪ B)').

Using the same Venn diagram description, state n((A ∩ B)').

Using the same Venn diagram description, state n[U − (A ∪ B)].

In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. How many students passed in mathematics only?

Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee. According to the Venn diagram, Cream only = 16, Sugar only = 35, and Cream ∩ Sugar = 20. How many like cream (including those who also like sugar)?

Using the same coffee Venn diagram, how many like sugar but not cream?

Using the same coffee Venn diagram, how many like both cream and sugar?

Using the same coffee Venn diagram, how many like cream or sugar (at least one of the two)?

In a town, 800 people are selected. 280 go to work by car only, 220 go to work by bicycle only and 140 use both ways. How many people use at least one of the transportation types?

In the same town survey, how many people go by neither car nor bicycle?

In a tennis tournament, 100 players took part in the singles, 31 players took part in the doubles only, and the total number of players who took part in the singles was equal to twice the total number of players who took part in the doubles. How many players took part in both the singles and the doubles?

Given n(U) = 60, n(A) = 34, n(B) = 22, and n(A ∩ B) = 8. Find n((A ∪ B)').

A total of 20 trucks were tested at a checkpoint. 6 trucks failed the test for brakes (B), 7 trucks failed the test for lights (L), and 9 trucks passed both brakes and lights. How many trucks failed both tests for brakes and lights?

Which one is a multiple of 4 but not a factor of $$32$$ ?

Which one is a factor of $$48$$ but not a multiple of 4?

Mohammed thinks of a number between $$1$$ and $$20$$ which has exactly $$5$$ factors. What is the number that Mohammed thinks?

Write $$56$$ as a product of its prime factors using the FACTOR TREE method.

Write $$105$$ as a product of its prime factors using the FACTOR TREE method.

Find the H.C.F of $$24$$ and $$36$$ .

Find the H.C.F of $$10$$ , $$40$$ and $$60$$ .

Find the number which divides $$168$$ and $$96$$ leaving $$6$$ as remainder.

The highest common factor and lowest common multiple of two numbers are $$6$$ and $$36$$ respectively. One number is $$12$$ , find the other.

A bell rings every 18 seconds, another every 60 seconds. At 5:00 pm the two ring simultaneously. At what time will the bells ring again at the same time?

A salesman goes to Salala every 15 days for one day and another every 24 days, also for one day. Today, both are in Salala. After how many days will both salesmen be again in Salala on the same day?

Ibrahim has two metal rods of 45 m and 60 m respectively. He wants to cut both rods into short lengths of equal measurement. How long should each short piece be?

Convert the mixed fraction $$1 \tfrac{1}{2}$$ to improper form.

Convert the mixed fraction $$3 \tfrac{1}{3}$$ to improper form.

Convert the mixed fraction $$5 \tfrac{2}{5}$$ to improper form.

Convert the improper fraction $$\tfrac{7}{2}$$ to a mixed fraction.

Convert the improper fraction $$\tfrac{30}{7}$$ to a mixed fraction.

Reduce the fraction $$\tfrac{4}{12}$$ to its simplest form.

Reduce the fraction $$\tfrac{6}{39}$$ to its simplest form.

Select two fractions that are equivalent to $$\tfrac{2}{5}$$ .

Select two fractions that are equivalent to $$\tfrac{3}{7}$$ .