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ClickN KIDS Beginning Reading & Spelling Programs
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4. GRADE MATHEMATICS TESTS
 
                                                              PROPERTIES OF THE TESTS *

We try to prepare three groups of tests.
The first group is directed to teach. We expect the children to learn the subject as they solve the problems. These contain tips and helps (with figures). Their number changes according to the question. There is no time limit. The pupil or student may browse the web and gather the lacking information meanwhile.
For the 4th Grade we have (almost) completed this group. Some questions are beyond level (directed to the gifted) and we will make arrangements on the way. They may be skipped by the average learners for the time being.
The second group of our tests are time limited with 2 minutes per question. They are a step towards the real-time tests which normally permit a minute per question. They are for the level and may contain tips and help depending on the situation.
The third group consists of real time tests as they normally are offered.

* In the followings you find our evaluations of our tests. We know we are here to be evaluated and not to evaluate. We look forward for your feedback and contributions. As they arrive, via our
forum, e-mail etc. we will publish them and this page will then change.
    TOPICS and FIRST GROUP of TESTS
NATURAL NUMBERS
T1.1: Fourth Grade Natural Numbers Test (1.1)
  Most of the questions are typical. Questions 4, 10, 17 and 18 deserve special attention. Questions 19, 20 and 22 are relatively hard and 25 is rather "deep thinking" oriented.
T1.2: Fourth Grade Natural Numbers Test (1.2)
  Questions 1, 2, 3 and 11 deserve special attention. Questions 8 and 16 are relatively hard .
T1.3: Natural Numbers Test (Fourth Grade 1.3)
 This is a rather hard nut for 4th Grade. Questions 6, 7, 13 and 22 deserve special attention. Questions 1, 2, 8, 11 and 16 are relatively hard and rather "deep thinking" oriented.
ADDITION
T1.1: Addition of Natural Numbers (4th Grade Test 1.1)
  Questions 1, 2, 3 and 12 (definition of factorial) deserve special attention. Questions 1, 8 (the sum of odd numbers from 1 to 100) and 25 (creative thinking is required) are relatively hard .
T1.2: Addition of Natural Numbers (4th Grade Test 1.2)
  Questions 1 to 10 are related to counting and number coding. They try to explain why we need counting, what the simplest methods of counting may be and how we could easily come to base 2 counting (a kind of number coding) keeping the track.
  The next three questions teach methods to check the validity of the result obtained after an addition. The remaining questions are typical simple ones .
T1.3: Addition of Natural Numbers (4th Grade Test 1.3)
 This is a relatively simple test in comparison with Test-2. The first two questions mention the ease of base 10 coding and the methods to be applied for quick and correct additions.
 The last questions are about World economics, population and the possible dangers of overpopulation.
SUBTRACTION
T1.1: Fourth Grade Subtraction of Natural Numbers Test (1.1)
  Most of the questions are typical. Little bit harder than normal but typical. Questions 1, 3, 6 and 16 deserve special attention. Question 1 is "thinking" oriented.
T1.2: Fourth Grade Subtraction of Natural Numbers Test (1.2)
  Most of the questions are typical. It may even be said that this test is one of the simplest of our teaching oriented tests. Questions 11, 12 and 13 try to give an idea about scales.
T1.3: Fourth Grade Subtraction of Natural Numbers Test (1.3)
 This is also a rather hard test for 4th Grade. Questions 1, 2, 3 and 13 deserve special attention. Question 12 is tricky and questions 1, 2, 13 and 22 are really hard and rather "brain training" oriented.
MULTIPLICATION
T1.1: Fourth Grade Multiplication of Natural Numbers Test (1.1)
  This is a rather easy test. Most of the questions are typical. Question 25 is relatively hard and deserves special attention. Questions 13 and 14 teaches a method of checking the result of a multiplication and is referred later.
T1.2: Multiplication of Natural Numbers Test (Fourth Grade 1.2)
  This is a rather hard teaching oriented test. Question 9 introduces base 9 and base 8 coding and is of course hard for 4th Grade. Questions 14 and 18 are hard and deserve special attention. Question 24 and 25 introduce a new way of multiplication (lattice/cage method) which may be helpful in some cases .
T1.3: Multiplication of Natural Numbers Test (Fourth Grade 1.3)
 The test continues with cage method. Question 9 introduces another new method and is for the gifted. Only for the gifted. The last 4-5 questions are interesting and correspondingly hard.
DIVISION
T1.1: Division of Natural Numbers Test, 4th Grade 1.1
  This is a simple test. Base 10 coding and place values are continuously emphasized. Questions 6, 9, 11 (divisibility by 3) and 22 are relatively hard. Correct order of operations is given.
T1.2: Division of Natural Numbers Test, 4th Grade 1.2
  This is a moderate test. The first 5 questions are about limited digit calculations, errors made due to limit and ways of correcting them if a calculator at hand. Question 11 (divisibility by 5) is reletively hard but interseting. Last three questions are also interesting.
T1.3: Division of Natural Numbers Test, 4th Grade 1.3
 This is a rather hard nut for 4th Grade. Questions 1, 2, 3 , 13, 14 and 16 are there for the comparison of our usual method of division and explicit forms (base 10 coding) of the numbers and divisions in this form. They deserve special attention. Questions 7 , 12 and 25 (an interesting "division + ..." problem) are hard.
FRACTIONS
T1.1: Fractions (Tests 4th Grade 1.1)
  Most of the questions are typical. The first couple of questions introduce fractions and emphasize the series 1/2 , 1/4, 1/8 ... . Question 9 is rather hard to see and interesting. Q. 23 deserves special attention.
T1.2: Fractions (Tests 4th Grade 1.2)
  A rather straightforward test. Be careful with question 7; these type of questions are prone to error due to carelesness. Do not forget that as time goes on all of us, not only one/some among us, gain age (and hopefully experience).
T1.3: Fractions (Tests 4th Grade 1.2)
 Be careful with problems of type of Q. 2. Be careful with the subjects of the actions. Questions 11 and 15 introduce vernier caliper which is important. Learn them well.
ADDITION of FRACTIONS
T1.1: Addition of Fractions (Test 4th Grade 1.1)
  Most of the questions are typical. The first couple of questions introduce fractions and emphasize the series 1/2 , 1/4, 1/8 ... . Question 9 is rather hard to see and interesting. Question 23 deserves special attention.
T1.2: Addition of Fractions (Test 4th Grade 1.2)
  A typical test including rather advanced questions for the grade. Question 22 deserves special attention. Questions of this type are citadel and should be learned, understood and learned .
T1.3: Addition of Fractions (Test 4th Grade 1.3)
 A good test deserving attention. Question 1 teaches careful handling of fraction questions. Question 2 is a travel towards the soul of fractions. It tries to explain why rational numbers are dense in reals. Just a touch but it has this aim. Question 20 is about averaging fractions and deserves attention. Question 22 is a simple introduction to rather complex operations including fractions in fractions.
SUBTRACTION of FRACTIONS
T1.1: Subtraction of Fractions (Test 4th Grade 1.1)
  Our tests emphasize the importance of least common multiple and greatest common divisor from the very beginning. They are the right way to handle fractions and not as hard and frightening as they are being afraid of. Prime factorization we tried to teach and now we feel ouselves free to use these concepts and operations. We hope the same for you. Question 22 of this test is of utmost importance.
T1.2: Subtraction of Fractions (Test 4th Grade 1.2)
  Questions 1 and 2 deserve special attention. They involve almost everything related with fractions and any student having understood them will be successful. Question 10 and 11 are about World facts. They should be publicly known. Questions 17 and 22 are interesting and important.
T1.3: Subtraction of Fractions (Test 4th Grade 1.3)
 In questions 1 to 6 the idea of "constant unique denominator" is introduced and worked. Questions 10 to 12 are about per capita cropland which is very important. Question 22 is an interesting question seeming very hard at the first look.
DECIMAL NUMBERS
At this level decimal numbers are just a symmetry (with respect to multiplication) of base ten coded natural numbers. We have not put any test for the time being. 5th Grade may be more proper place for our tests.

 
 
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