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Port Said International Schools – National Section Better education for future generations Final model exam : 6 Name :____________________________________________ Date : January Grade:4 Question (1) : Complete the following : a. Any quadrilateral has 2 diagonals. b. The greatest 7 different digit number is 9876543 c. If the sides of the triangle are 4cm. , 3cm. and 4cm. then it is called isosceles d. The factors of the number 12 are 1 , 2 , 3 , 4 , 6 and 12 e. 6 milliard + 87 million + 7 = 6,087,000,007 f. 0 is multiple of all numbers . g. One million is the smallest 7 digit number. h. 321009765 in word form is three hundred twenty one million , nine thousand , seven hundred and sixty five. i. The value of the digit 4 in 3245632119 is 40000000 j. When two straight lines intersects forming four right angles , then they are called perpendicular straight lines k. The smallest 6 different digit number is 102345 l. The number 2 million , 37 thousand , 9 in digit form is 2,037,009 m. The smallest prime number is 2 n. The H.C.F for 12 , 30 is 6 o. The place value of the digit 5 in 35908763 is million p. 3 milliard + 4 thousand = 3,000,004,000 Math Department Page 1 of 4 Question (2) : Choose the correct answer between brackets : a. The smallest odd prime number is …………… (3 , 2, 1 ) b. The perimeter of a square whose side length 3cm. = ……………. ( 9cm. , 6cm. , 12cm. ) c. The diagonals are perpendicular in ……………… ( rhombus , parallelogram , rectangle ) d. The place value of the digit 8 in 6854321900= ………………. ( ten million , million , hundred million ) e. The prime number has ………….. factors. ( 2 , 1 , 4) f. In ∆ XYZ , if m( Y ) = 40o and m( Z ) = 50o , then the triangle is ……………… - angled triangle. ( acute , right , obtuse ) g. The milliard is the smallest …………….. digit number. ( 9 , 10 , 8 ) h. The two perpendicular straight lines form four …………….. angles . ( acute , right , obtuse ) Question (3) : Put ( ) for the correct statement and ( × ) for the incorrect one a.345962 + 154048 = fifty thousand ( × b. The sum of measures of angles of a triangle = 180º ( ) c. The value of the digit 5 in 4567432 is 50000. ( × d. All sides are equal in square and rhombus. ( e. Two parallel lines never intersect each other. ( f. The L.C.M of the two numbers 7 and 9 is 36. g. The two diagonals of the square are perpendicular. ( ( ) ) ) ) × ) ) h. When the sides of the triangle are different , then the triangle is called equilateral triangle. ( × ) Math Department Page 2 of 4 Question (4) : a.Hazem bought 26 books , if the price of one book is P.T 725. Find the money that Hazem paid. Hazem paid = 26 × 725 = PT 18850 b. Eman bought 24 meters of cloth for LE 648.Find the price of one meter. The price of one meter = 648 ÷ 24 = LE 27 c. Find the H.C.F and the L.C.M for the two numbers 24 and 20. 24 12 6 3 1 2 2 2 3 20 2 10 2 5 5 1 24 = 2 × 2 × 2 × 3 20 = 2 × 2 ×5 H.C.F = 2 × 2 = 4 L.C.M = 2 × 2 × 2 × 3 × 5 = 120 Question (5) : ( 5 marks ) a. Draw XYZ in which XY = 5cm. , YZ = 4cm. and m ( Y) = 70°. Find : 1. By measuring the length of XZ 2. The type of the triangle according to the lengths of its sides. 3. The perimeter of XYZ. 1. 5cm. 2. Isosceles triangle. 3. The perimeter = 5 + 4 + 5 = 14 cm. Math Department Page 3 of 4 b. Draw ABC in which AB = 5cm , m( A) = 80º and m( B) = 60º . Find : 1. m( C) 2. The type of the triangle according to its angles 3. The perimeter of ABC. 1. m( C) = 40º 2. acute-angled triangle 3. 5 + 7 + 8 = 20 cm. c. Find the area and the perimeter of a rectangle whose dimensions are 6cm. and 4cm. Area = L × W = 6 × 4 = 24 cm2 Perimeter = ( L + W ) × 2 = ( 6 + 4 ) × 2 = 20 cm. d. Find the area and the perimeter of a square whose side length is 6 cm . Area = side length × side length = 6 × 6 = 36 cm2 Perimeter = side length × 4 = 6 × 4 = 24 cm. e. Find the perimeter of an equilateral triangle whose side is 5cm. Perimeter = 5 + 5 + 5 = 15 cm. OR = 5 × 3 15 cm. f. Find the perimeter of a triangle whose sides are 5cm. , 3cm. and 4cm. Perimeter = 5 + 3 + 4 = 12 cm Math Department Page 4 of 4