{"id":2813,"date":"2023-12-03T00:51:11","date_gmt":"2023-12-02T17:51:11","guid":{"rendered":"https:\/\/www.upgradeclass.com\/welcome\/?post_type=blog_post&p=2813"},"modified":"2023-12-03T00:51:11","modified_gmt":"2023-12-02T17:51:11","slug":"%e0%b8%a1%e0%b8%b2%e0%b8%a5%e0%b8%ad%e0%b8%87%e0%b8%97%e0%b8%b3%e0%b9%81%e0%b8%9a%e0%b8%9a%e0%b8%9d%e0%b8%b6%e0%b8%81%e0%b8%ab%e0%b8%b1%e0%b8%94-sat-math-%e0%b8%81%e0%b8%b1%e0%b8%99%e0%b9%80%e0%b8%96","status":"publish","type":"blog_post","link":"https:\/\/www.upgradeclass.com\/welcome\/blog-post\/%e0%b8%a1%e0%b8%b2%e0%b8%a5%e0%b8%ad%e0%b8%87%e0%b8%97%e0%b8%b3%e0%b9%81%e0%b8%9a%e0%b8%9a%e0%b8%9d%e0%b8%b6%e0%b8%81%e0%b8%ab%e0%b8%b1%e0%b8%94-sat-math-%e0%b8%81%e0%b8%b1%e0%b8%99%e0%b9%80%e0%b8%96\/","title":{"rendered":"\u0e21\u0e32\u0e25\u0e2d\u0e07\u0e17\u0e33\u0e41\u0e1a\u0e1a\u0e1d\u0e36\u0e01\u0e2b\u0e31\u0e14 SAT Math \u0e01\u0e31\u0e19\u0e40\u0e16\u0e2d\u0e30"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

<\/p>\n\n\n\n

SAT Math \u0e19\u0e31\u0e49\u0e19\u0e2d\u0e22\u0e39\u0e48\u0e17\u0e35\u0e48\u0e01\u0e32\u0e23\u0e1d\u0e36\u0e01\u0e1d\u0e19\u0e41\u0e25\u0e30\u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49 Trick \u0e40\u0e09\u0e1e\u0e32\u0e30\u0e15\u0e31\u0e27\u0e02\u0e2d\u0e07\u0e02\u0e49\u0e2d\u0e2a\u0e2d\u0e1a SAT <\/p>\n\n\n\n

Questions 1-5: Algebra<\/strong><\/p>\n\n\n\n

    \n
  1. Solve the equation x<\/em>3\u22123x<\/em>2+2x<\/em>\u22121=0.<\/li>\n\n\n\n
  2. Find the sum of all the real roots of the equation x<\/em>4+4x<\/em>3+6x<\/em>2+4x<\/em>+1=0.<\/li>\n\n\n\n
  3. Let a<\/em> and b<\/em> be real numbers such that a<\/em>+b<\/em>=1 and a<\/em>2+b<\/em>2=2. Find the maximum value of ab<\/em>.<\/li>\n\n\n\n
  4. Let f<\/em>(x<\/em>)=2x<\/em>3+3x<\/em>2+4x<\/em>+1. Find the number of points of intersection of the graphs of f<\/em> and f<\/em>\u2032(x<\/em>).<\/li>\n\n\n\n
  5. Let P<\/em>(x<\/em>) be a polynomial of degree 3 with real coefficients. Suppose that P<\/em>(1)=P<\/em>(\u22121)=0, and that P<\/em>(x<\/em>)>0 for all x<\/em>\u2208(\u22121,1). Find the minimum value of P<\/em>(0).<\/li>\n<\/ol>\n\n\n\n

    Questions 6-10: Geometry<\/strong><\/p>\n\n\n\n

      \n
    1. In triangle A<\/em>BC<\/em>, let D<\/em> be the midpoint of BC<\/em>, and let E<\/em> be the foot of the altitude from A<\/em> to BC<\/em>. Prove that A<\/em>E<\/em>+B<\/em>D<\/em>>A<\/em>C<\/em>.<\/li>\n\n\n\n
    2. Let A<\/em>BC<\/em>D<\/em> be a trapezoid with A<\/em>D<\/em> parallel to BC<\/em>. Let M<\/em> be the midpoint of A<\/em>D<\/em>, and let N<\/em> be the midpoint of BC<\/em>. Prove that MN<\/em> is parallel to A<\/em>B<\/em> and C<\/em>D<\/em>.<\/li>\n\n\n\n
    3. Let O<\/em> be the center of the circle with equation x<\/em>2+y<\/em>2=1. Let P<\/em> be a point on the circle, and let D<\/em> be the foot of the altitude from P<\/em> to O<\/em>A<\/em>. Prove that P<\/em>D<\/em> is a tangent to the circle.<\/li>\n\n\n\n
    4. Let A<\/em>BC<\/em> be a triangle with circumcircle \u03c9<\/em>. Let P<\/em> be a point on \u03c9<\/em>, and let D<\/em> be the foot of the altitude from P<\/em> to BC<\/em>. Prove that \u2220A<\/em>P<\/em>D<\/em>=\u2220A<\/em>BC<\/em>.<\/li>\n\n\n\n
    5. Let A<\/em>BC<\/em> be a triangle with circumcircle \u03c9<\/em>. Let M<\/em> be the midpoint of BC<\/em>, and let P<\/em> be a point on \u03c9<\/em> such that \u2220PMC<\/em>=90\u2218. Prove that \u2220A<\/em>MB<\/em>=\u2220A<\/em>CM<\/em>.<\/li>\n<\/ol>\n\n\n\n

      Questions 11-15: Probability<\/strong><\/p>\n\n\n\n

        \n
      1. Two dice are rolled. Find the probability that the sum of the two rolls is a multiple of 3.<\/li>\n\n\n\n
      2. A fair coin is flipped 10 times. Find the probability that the number of heads is exactly 5.<\/li>\n\n\n\n
      3. A deck of 52 cards is shuffled thoroughly. Find the probability that the top card is an ace, given that the second card is a king.<\/li>\n\n\n\n
      4. Three people are each given three cards from a standard deck of 52 cards. Find the probability that each person has exactly one card of each suit.<\/li>\n\n\n\n
      5. A bag contains 10 red marbles and 20 blue marbles. Two marbles are drawn without replacement. Find the probability that the first marble is red and the second marble is blue, or vice versa.<\/li>\n<\/ol>\n\n\n\n

        Questions 16-20: Trigonometry<\/strong><\/p>\n\n\n\n

          \n
        1. Find the value of sin15\u2218.<\/li>\n\n\n\n
        2. Find the value of cos75\u2218.<\/li>\n\n\n\n
        3. Find the value of tan45\u2218.<\/li>\n\n\n\n
        4. Find the value of sin135\u2218.<\/li>\n\n\n\n
        5. Find the value of cos225\u2218.<\/li>\n<\/ol>\n\n\n\n
          \n
          \n

          One-on-One Private<\/strong><\/p>\n\n\n\n

          \u0e40\u0e23\u0e35\u0e22\u0e19\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27<\/h3>\n\n\n\n

          \u0e40\u0e23\u0e35\u0e22\u0e19\u0e41\u0e1a\u0e1a\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e27\u0e25\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19
          \u0e08\u0e31\u0e14\u0e15\u0e32\u0e23\u0e32\u0e07\u0e40\u0e27\u0e25\u0e32\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08<\/p>\n\n\n\n

          1,100 bath\/hr<\/h3>\n\n\n\n
          \n
          \u0e2a\u0e21\u0e31\u0e04\u0e23\u0e40\u0e23\u0e35\u0e22\u0e19<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
          \n

          One-on-One Private<\/strong><\/p>\n\n\n\n

          \u0e40\u0e23\u0e35\u0e22\u0e19\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27<\/h3>\n\n\n\n

          \u0e40\u0e23\u0e35\u0e22\u0e19\u0e41\u0e1a\u0e1a\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e27\u0e25\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19
          \u0e08\u0e31\u0e14\u0e15\u0e32\u0e23\u0e32\u0e07\u0e40\u0e27\u0e25\u0e32\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08<\/p>\n\n\n\n

          1,100 bath\/hr<\/h3>\n\n\n\n
          \n
          \u0e2a\u0e21\u0e31\u0e04\u0e23\u0e40\u0e23\u0e35\u0e22\u0e19<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
          \n

          One-on-One Private<\/strong><\/p>\n\n\n\n

          \u0e40\u0e23\u0e35\u0e22\u0e19\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27<\/h3>\n\n\n\n

          \u0e40\u0e23\u0e35\u0e22\u0e19\u0e41\u0e1a\u0e1a\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e27\u0e25\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19
          \u0e08\u0e31\u0e14\u0e15\u0e32\u0e23\u0e32\u0e07\u0e40\u0e27\u0e25\u0e32\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08<\/p>\n\n\n\n

          1,100 bath\/hr<\/h3>\n\n\n\n
          \n
          \u0e2a\u0e21\u0e31\u0e04\u0e23\u0e40\u0e23\u0e35\u0e22\u0e19<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

          <\/p>\n","protected":false},"excerpt":{"rendered":"

          SAT Math \u0e19\u0e31\u0e49\u0e19\u0e2d\u0e22\u0e39\u0e48\u0e17\u0e35\u0e48\u0e01\u0e32\u0e23\u0e1d\u0e36\u0e01\u0e1d\u0e19\u0e41\u0e25\u0e30\u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49 Trick \u0e40\u0e09\u0e1e\u0e32\u0e30\u0e15\u0e31\u0e27\u0e02\u0e2d\u0e07\u0e02\u0e49\u0e2d\u0e2a\u0e2d\u0e1a SAT Questions 1-5: Algebra Questions 6-10: Geometry Questions 11-15: Probability Questions 16-20: Trigonometry One-on-One Private \u0e40\u0e23\u0e35\u0e22\u0e19\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e23\u0e35\u0e22\u0e19\u0e41\u0e1a\u0e1a\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e27\u0e25\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19\u0e08\u0e31\u0e14\u0e15\u0e32\u0e23\u0e32\u0e07\u0e40\u0e27\u0e25\u0e32\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08 1,100 bath\/hr One-on-One Private \u0e40\u0e23\u0e35\u0e22\u0e19\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e23\u0e35\u0e22\u0e19\u0e41\u0e1a\u0e1a\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e27\u0e25\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19\u0e08\u0e31\u0e14\u0e15\u0e32\u0e23\u0e32\u0e07\u0e40\u0e27\u0e25\u0e32\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08 1,100 bath\/hr One-on-One Private \u0e40\u0e23\u0e35\u0e22\u0e19\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e23\u0e35\u0e22\u0e19\u0e41\u0e1a\u0e1a\u0e15\u0e31\u0e27\u0e15\u0e48\u0e2d\u0e15\u0e31\u0e27 \u0e40\u0e25\u0e37\u0e2d\u0e01\u0e40\u0e27\u0e25\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19\u0e08\u0e31\u0e14\u0e15\u0e32\u0e23\u0e32\u0e07\u0e40\u0e27\u0e25\u0e32\u0e44\u0e14\u0e49\u0e15\u0e32\u0e21\u0e43\u0e08 1,100 bath\/hr<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","tags":[69],"blog-category":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/blog_post\/2813"}],"collection":[{"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/blog_post"}],"about":[{"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/types\/blog_post"}],"author":[{"embeddable":true,"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/comments?post=2813"}],"wp:attachment":[{"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/media?parent=2813"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/tags?post=2813"},{"taxonomy":"blog-category","embeddable":true,"href":"https:\/\/www.upgradeclass.com\/welcome\/wp-json\/wp\/v2\/blog-category?post=2813"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}