IGCSE Maths Extended Core Concepts and Past Paper Video Solutions

IGCSE - Math Extended

Core Concepts

Helpful refreshers summarizing exactly what you need to know about the most important concepts covered in the course.

Past Papers

Full worked solutions to all past paper questions, taught by experienced IB instructors.

img:is([sizes="auto" i],[sizes^="auto," i]){contain-intrinsic-size:3000px 1500px;}html[data-wp-dark-mode-active],[data-wp-dark-mode-loading]{--wpdm-body-filter:brightness(100%) contrast(90%) grayscale(0%) sepia(10%);--wpdm-grayscale:0%;--wpdm-img-brightness:100%;--wpdm-img-grayscale:0%;--wpdm-video-brightness:100%;--wpdm-video-grayscale:0%;--wpdm-large-font-sized:1.2em;}[data-wp-dark-mode-active]{--wpdm-background-color:#000;--wpdm-secondary-background-color:#000;--wpdm-text-color:#dfdedb;--wpdm-link-color:#e58c17;--wpdm-link-hover-color:#e58c17;--wpdm-input-background-color:#000;--wpdm-input-text-color:#dfdedb;--wpdm-input-placeholder-color:#dfdedb;--wpdm-button-text-color:#dfdedb;--wpdm-button-hover-text-color:#dfdedb;--wpdm-button-background-color:#141414;--wpdm-button-hover-background-color:#141414;--wpdm-button-border-color:#1e1e1e;}img.wp-smiley,img.emoji{display:inline !important;border:none !important;box-shadow:none !important;height:1em !important;width:1em !important;margin:0 .07em !important;vertical-align:-.1em !important;background:none !important;padding:0 !important;}.wp-block-gutena-forms .wp-block-group.is-layout-flex>.wp-block-image{display:flex;}.wp-block-gutena-forms .is-vertical.is-layout-flex.wp-block-group .gutena-forms-field,.wp-block-gutena-forms .is-vertical.is-layout-flex.wp-block-group .heading-input-label-gutena{min-width:100%;}.wp-block-gutena-forms .gutena-forms-field,.wp-block-gutena-forms .heading-input-label-gutena{background-color:transparent;}.wp-block-gutena-forms.not-show-form-labels .heading-input-label-gutena{display:none;}.wp-block-gutena-forms.has-label-font-family .heading-input-label-gutena{font-family:var(--wp--gutena-forms--label-font-family);}.wp-block-gutena-forms .heading-input-label-gutena{color:var(--wp--gutena-forms--label-color);font-size:var(--wp--gutena-forms--label-font-size,13px);font-weight:var(--wp--gutena-forms--label-font-weight);line-height:var(--wp--gutena-forms--label-line-height);}.wp-block-gutena-forms .gutena-forms-field{color:var(--wp--gutena-forms--label-color);}.wp-block-gutena-forms .gutena-forms-field:not(.checkbox-field):not(.radio-field){background-color:var(--wp--gutena-forms--input-bg-color,"transparent");}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.inline-options,.wp-block-gutena-forms .gutena-forms-field.radio-field.inline-options{display:flex;flex-wrap:wrap;}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.has-1-col,.wp-block-gutena-forms .gutena-forms-field.radio-field.has-1-col{display:grid;grid-template-columns:repeat(1,1fr);}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.has-2-col,.wp-block-gutena-forms .gutena-forms-field.radio-field.has-2-col{display:grid;grid-template-columns:repeat(2,1fr);}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.has-3-col,.wp-block-gutena-forms .gutena-forms-field.radio-field.has-3-col{display:grid;grid-template-columns:repeat(3,1fr);}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.has-4-col,.wp-block-gutena-forms .gutena-forms-field.radio-field.has-4-col{display:grid;grid-template-columns:repeat(4,1fr);}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.has-5-col,.wp-block-gutena-forms .gutena-forms-field.radio-field.has-5-col{display:grid;grid-template-columns:repeat(5,1fr);}.wp-block-gutena-forms .gutena-forms-field.checkbox-field.has-6-col,.wp-block-gutena-forms .gutena-forms-field.radio-field.has-6-col{display:grid;grid-template-columns:repeat(6,1fr);}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkbox-container{cursor:pointer;display:block;padding-left:25px;position:relative;-webkit-user-select:none;-moz-user-select:none;user-select:none;}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkbox-container input{cursor:pointer;height:0;opacity:0;position:absolute;width:0;}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkbox-container input:checked~.checkmark{background-color:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));border-color:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkbox-container input:checked~.checkmark:after{display:block;}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkbox-container .checkmark:after{border:solid #fff;border-width:0 3px 3px 0;height:7px;left:5px;top:2px;transform:rotate(45deg);width:3px;}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkmark{background-color:#fff;border:1px solid var(--wp--gutena-forms--input-border-color,#d7dbe7);border-radius:2px;height:16px;left:0;position:absolute;top:50%;transform:translateY(-50%);width:16px;}.wp-block-gutena-forms .gutena-forms-field.checkbox-field .checkmark:after{content:"";display:none;position:absolute;}.wp-block-gutena-forms .gutena-forms-field.radio-field .radio-container{cursor:pointer;display:block;padding-left:25px;position:relative;-webkit-user-select:none;-moz-user-select:none;user-select:none;}.wp-block-gutena-forms .gutena-forms-field.radio-field .radio-container input{cursor:pointer;opacity:0;position:absolute;}.wp-block-gutena-forms .gutena-forms-field.radio-field .radio-container:hover input~.checkmark{background-color:#fff;}.wp-block-gutena-forms .gutena-forms-field.radio-field .radio-container input:checked~.checkmark{background-color:#fff;border-color:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));}.wp-block-gutena-forms .gutena-forms-field.radio-field .radio-container input:checked~.checkmark:after{display:block;}.wp-block-gutena-forms .gutena-forms-field.radio-field .radio-container .checkmark:after{background:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));border-radius:50%;height:10px;left:3px;top:3px;width:10px;}.wp-block-gutena-forms .gutena-forms-field.radio-field .checkmark{background-color:#fff;border:1px solid var(--wp--gutena-forms--input-border-color,#d7dbe7);border-radius:50%;height:16px;left:0;position:absolute;top:50%;transform:translateY(-50%);width:16px;}.wp-block-gutena-forms .gutena-forms-field.radio-field .checkmark:after{content:"";display:none;position:absolute;}.wp-block-gutena-forms .gutena-forms-field.range-field{accent-color:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));}.wp-block-gutena-forms .wp-block-gutena-form-field:not(.gutena-forms-radio-field):not(.gutena-forms-checkbox-field):not(.gutena-forms-range-field){background-color:var(--wp--gutena-forms--input-bg-color,"transparent");}.wp-block-gutena-forms .gutena-forms-field::-moz-placeholder{color:var(--wp--gutena-forms--placeholder-color);font-size:var(--wp--gutena-forms--placeholder-font-size);font-weight:var(--wp--gutena-forms--placeholder-font-weight);line-height:var(--wp--gutena-forms--placeholder-line-height);}.wp-block-gutena-forms .gutena-forms-field::placeholder{color:var(--wp--gutena-forms--placeholder-color);font-size:var(--wp--gutena-forms--placeholder-font-size);font-weight:var(--wp--gutena-forms--placeholder-font-weight);line-height:var(--wp--gutena-forms--placeholder-line-height);}.wp-block-gutena-forms .wp-block-gutena-form-field>select.gutena-forms-field{padding-bottom:18px;padding-top:18px;}.wp-block-gutena-forms.has-placeholder-font-family .wp-block-gutena-form-field .gutena-forms-field{font-family:var(--wp--gutena-forms--placeholder-font-family);}.wp-block-gutena-forms .wp-block-gutena-form-field .gutena-forms-field{box-sizing:border-box;font-size:var(--wp--gutena-forms--placeholder-font-size);font-weight:var(--wp--gutena-forms--placeholder-font-weight);line-height:var(--wp--gutena-forms--placeholder-line-height);padding:13px calc(18px + var(--wp--gutena-forms--input-border-radius,0px) / 2);width:100%;}.wp-block-gutena-forms .wp-block-gutena-form-field .gutena-forms-field.checkbox-field,.wp-block-gutena-forms .wp-block-gutena-form-field .gutena-forms-field.radio-field{-moz-column-gap:3rem;column-gap:3rem;padding-left:0;padding-right:0;row-gap:.5rem;}.wp-block-gutena-forms .wp-block-gutena-form-field .gutena-forms-field.range-field{padding:0;}.wp-block-gutena-forms .wp-block-gutena-form-field .gf-range-values{color:var(--wp--gutena-forms--label-color);display:flex;font-size:var(--wp--gutena-forms--placeholder-font-size);font-weight:var(--wp--gutena-forms--placeholder-font-weight);justify-content:space-between;line-height:var(--wp--gutena-forms--placeholder-line-height);margin:0;padding:0;}.wp-block-gutena-forms .wp-block-columns{margin-bottom:var(--wp--style--block-gap,2em);}.wp-block-gutena-forms .wp-block-gutena-form-field{width:100%;}.wp-block-gutena-forms:not(.input-box-border-bottom-only) .wp-block-gutena-form-field:not(.gutena-forms-radio-field):not(.gutena-forms-checkbox-field):not(.gutena-forms-range-field){border-color:var(--wp--gutena-forms--input-border-color,#d7dbe7);border-radius:var(--wp--gutena-forms--input-border-radius,0);border-style:solid;border-width:var(--wp--gutena-forms--input-border-width,1px);}.wp-block-gutena-forms:not(.input-box-border-bottom-only) .wp-block-gutena-form-field:not(.gutena-forms-radio-field):not(.gutena-forms-checkbox-field):not(.gutena-forms-range-field):focus-within{border-color:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));width:100%;}.wp-block-gutena-forms.input-box-border-bottom-only .wp-block-gutena-form-field:not(.gutena-forms-radio-field):not(.gutena-forms-checkbox-field):not(.gutena-forms-range-field){border-bottom:var(--wp--gutena-forms--input-border-width,1px) solid var(--wp--gutena-forms--input-border-color,#d7dbe7);}.wp-block-gutena-forms.input-box-border-bottom-only .wp-block-gutena-form-field:not(.gutena-forms-radio-field):not(.gutena-forms-checkbox-field):not(.gutena-forms-range-field):focus-within{border-bottom:var(--wp--gutena-forms--input-border-width,1px) solid var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));width:100%;}.wp-block-gutena-forms.input-box-border-bottom-only .wp-block-gutena-form-field .gutena-forms-field{padding-left:0;padding-right:0;}.wp-block-gutena-forms .wp-block-gutena-form-field .gutena-forms-field,.wp-block-gutena-forms .wp-block-gutena-form-field .gutena-forms-field:focus{border:0;box-shadow:none !important;margin:0 !important;outline:0 !important;}.wp-block-gutena-forms .gutena-forms-confirmation-columns{display:none;}.wp-block-gutena-forms .wp-block-gutena-field-group .is-layout-flex{gap:var(--wp--style--block-gap,1.5rem);}.wp-block-gutena-forms .wp-block-gutena-field-group .gutena-forms-field-error-msg{color:#fd3e3e;font-size:12px;margin-top:.5rem;}.wp-block-gutena-forms .wp-block-gutena-field-group:not(.display-error) .gutena-forms-field-error-msg{display:none;}.wp-block-gutena-forms .wp-block-gutena-field-group.display-error .wp-block-gutena-form-field:not(.gutena-forms-radio-field):not(.gutena-forms-checkbox-field):not(.gutena-forms-range-field){border-color:var(--wp--gutena-forms--input-focus-border-color,var(--wp--preset--color--primary,#3f6de4));}.wp-block-gutena-forms.form-progress .wp-block-button__link{box-shadow:inset 0 0 0 100px var(--wp--preset--color--primary,rgba(63,109,228,.8));opacity:.8;}.wp-block-gutena-forms .gutena-forms-btn-progress{display:inline-block;height:22px;position:relative;width:60px;}.wp-block-gutena-forms .gutena-forms-btn-progress div{animation-timing-function:cubic-bezier(0,1,1,0);background:#fff;border-radius:50%;height:7px;position:absolute;top:11px;width:7px;}.wp-block-gutena-forms .gutena-forms-btn-progress div:first-child{animation:submit-progress1 .6s infinite;left:5px;}.wp-block-gutena-forms .gutena-forms-btn-progress div:nth-child(2){animation:submit-progress2 .6s infinite;left:5px;}.wp-block-gutena-forms .gutena-forms-btn-progress div:nth-child(3){animation:submit-progress2 .6s infinite;left:25px;}.wp-block-gutena-forms .gutena-forms-btn-progress div:nth-child(4){animation:submit-progress3 .6s infinite;left:45px;}@keyframes submit-progress1{0%{transform:scale(0);}to{transform:scale(1);}}@keyframes submit-progress3{0%{transform:scale(1);}to{transform:scale(0);}}@keyframes submit-progress2{0%{transform:translate(0);}to{transform:translate(24px);}}.wp-block-gutena-forms:not(.display-error-message) .wp-block-gutena-form-error-msg:not(.block-editor-block-list__block),.wp-block-gutena-forms:not(.display-success-message) .wp-block-gutena-form-confirm-msg:not(.block-editor-block-list__block){display:none;}.wp-block-gutena-forms.hide-form-now>.wp-block-buttons,.wp-block-gutena-forms.hide-form-now>.wp-block-columns,.wp-block-gutena-forms.hide-form-now>.wp-block-gutena-field-group{height:0;transition:height 2s;visibility:hidden;}@media only screen and (max-width:600px){.wp-block-gutena-forms .gutena-forms-field.checkbox-field:not(.inline-options),.wp-block-gutena-forms .gutena-forms-field.radio-field:not(.inline-options){grid-template-columns:repeat(1,1fr);}}.wp-block-pdfemb-pdf-embedder-viewer{max-width:none;}.wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em;}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none;}:root{--wp--preset--aspect-ratio--square:1;--wp--preset--aspect-ratio--4-3:4/3;--wp--preset--aspect-ratio--3-4:3/4;--wp--preset--aspect-ratio--3-2:3/2;--wp--preset--aspect-ratio--2-3:2/3;--wp--preset--aspect-ratio--16-9:16/9;--wp--preset--aspect-ratio--9-16:9/16;--wp--preset--color--black:#000;--wp--preset--color--cyan-bluish-gray:#abb8c3;--wp--preset--color--white:#fff;--wp--preset--color--pale-pink:#f78da7;--wp--preset--color--vivid-red:#cf2e2e;--wp--preset--color--luminous-vivid-orange:#ff6900;--wp--preset--color--luminous-vivid-amber:#fcb900;--wp--preset--color--light-green-cyan:#7bdcb5;--wp--preset--color--vivid-green-cyan:#00d084;--wp--preset--color--pale-cyan-blue:#8ed1fc;--wp--preset--color--vivid-cyan-blue:#0693e3;--wp--preset--color--vivid-purple:#9b51e0;--wp--preset--color--medium-blue:#175cff;--wp--preset--color--deep-navyblue:#0a083b;--wp--preset--color--off-white:#f7f9fa;--wp--preset--color--bluish-dark-grey:#57586e;--wp--preset--color--light-grey:#eaf1f8;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple:linear-gradient(135deg,rgba(6,147,227,1) 0%,#9b51e0 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan:linear-gradient(135deg,#7adcb4 0%,#00d082 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange:linear-gradient(135deg,rgba(252,185,0,1) 0%,rgba(255,105,0,1) 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red:linear-gradient(135deg,rgba(255,105,0,1) 0%,#cf2e2e 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray:linear-gradient(135deg,#eee 0%,#a9b8c3 100%);--wp--preset--gradient--cool-to-warm-spectrum:linear-gradient(135deg,#4aeadc 0%,#9778d1 20%,#cf2aba 40%,#ee2c82 60%,#fb6962 80%,#fef84c 100%);--wp--preset--gradient--blush-light-purple:linear-gradient(135deg,#ffceec 0%,#9896f0 100%);--wp--preset--gradient--blush-bordeaux:linear-gradient(135deg,#fecda5 0%,#fe2d2d 50%,#6b003e 100%);--wp--preset--gradient--luminous-dusk:linear-gradient(135deg,#ffcb70 0%,#c751c0 50%,#4158d0 100%);--wp--preset--gradient--pale-ocean:linear-gradient(135deg,#fff5cb 0%,#b6e3d4 50%,#33a7b5 100%);--wp--preset--gradient--electric-grass:linear-gradient(135deg,#caf880 0%,#71ce7e 100%);--wp--preset--gradient--midnight:linear-gradient(135deg,#020381 0%,#2874fc 100%);--wp--preset--font-size--small:13px;--wp--preset--font-size--medium:20px;--wp--preset--font-size--large:36px;--wp--preset--font-size--x-large:42px;--wp--preset--font-size--normal:16px;--wp--preset--font-size--normal-plus:18px;--wp--preset--font-size--medium-plus:26px;--wp--preset--font-size--big:32px;--wp--preset--font-size--huge:48px;--wp--preset--font-family--inter:"Inter",sans-serif;--wp--preset--font-family--cardo:Cardo;--wp--preset--spacing--20:.44rem;--wp--preset--spacing--30:.67rem;--wp--preset--spacing--40:1rem;--wp--preset--spacing--50:1.5rem;--wp--preset--spacing--60:2.25rem;--wp--preset--spacing--70:3.38rem;--wp--preset--spacing--80:5.06rem;--wp--preset--shadow--natural:6px 6px 9px rgba(0,0,0,.2);--wp--preset--shadow--deep:12px 12px 50px rgba(0,0,0,.4);--wp--preset--shadow--sharp:6px 6px 0px rgba(0,0,0,.2);--wp--preset--shadow--outlined:6px 6px 0px -3px rgba(255,255,255,1),6px 6px rgba(0,0,0,1);--wp--preset--shadow--crisp:6px 6px 0px rgba(0,0,0,1);}:where(.is-layout-flex){gap:.5em;}:where(.is-layout-grid){gap:.5em;}body .is-layout-flex{display:flex;}.is-layout-flex{flex-wrap:wrap;align-items:center;}.is-layout-flex > :is(*,div){margin:0;}body .is-layout-grid{display:grid;}.is-layout-grid > :is(*,div){margin:0;}:where(.wp-block-columns.is-layout-flex){gap:2em;}:where(.wp-block-columns.is-layout-grid){gap:2em;}:where(.wp-block-post-template.is-layout-flex){gap:1.25em;}:where(.wp-block-post-template.is-layout-grid){gap:1.25em;}.has-black-color{color:var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-color{color:var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-color{color:var(--wp--preset--color--white) !important;}.has-pale-pink-color{color:var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color:var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color:var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color:var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color:var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color:var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color:var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color:var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color:var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color:var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color:var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color:var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color:var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color:var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color:var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color:var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color:var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color:var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color:var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color:var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color:var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color:var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color:var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color:var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color:var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color:var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color:var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color:var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color:var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color:var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color:var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color:var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color:var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background:var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background:var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background:var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background:var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background:var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background:var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background:var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background:var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background:var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background:var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background:var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background:var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size:var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size:var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size:var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size:var(--wp--preset--font-size--x-large) !important;}:where(.wp-block-post-template.is-layout-flex){gap:1.25em;}:where(.wp-block-post-template.is-layout-grid){gap:1.25em;}:where(.wp-block-columns.is-layout-flex){gap:2em;}:where(.wp-block-columns.is-layout-grid){gap:2em;}:root :where(.wp-block-pullquote){font-size:1.5em;line-height:1.6;}.mce-notification.mce-notification-error{display:none !important;}:root{--tutor-color-primary:#6a6b6c;--tutor-color-primary-rgb:106,107,108;--tutor-color-primary-hover:#3d3d3e;--tutor-color-primary-hover-rgb:61,61,62;--tutor-body-color:#212327;--tutor-body-color-rgb:33,35,39;--tutor-border-color:#cdcfd5;--tutor-border-color-rgb:205,207,213;--tutor-color-gray:#e3e5eb;--tutor-color-gray-rgb:227,229,235;}.woocommerce form .form-row .required{visibility:visible;}:root{--default-color:#fff;--body-font:Inter;--heading-font:Poppins;--link-color:#1950d1;--body-bg-color:#fff;--cart-color:#1950d1;--cart-color-trans:#fff;--cta-text-color:#fff;--cta-text-color-trans:#fff;--body-text-color:#57586e;--cta-font-weight:400;--cta-font-transform:none;--cta-font-lineheight:1.2em;--cta-font-lineheight-tablet:1.2em;--cta-font-lineheight-mobile:1.2em;--menu-link-color:#686868;--menu-link-color-trans:#fff;--body-font-weight:400;--h1-font-weight:700;--h2-font-weight:700;--h3-font-weight:700;--h4-font-weight:700;--h5-font-weight:700;--h6-font-weight:700;--h1-text-transform:none;--h2-text-transform:none;--h3-text-transform:none;--h4-text-transform:none;--h5-text-transform:none;--h6-text-transform:none;--primary-menu-bg-color:#fff;--sticky-menu-bg-color:rgba(4,42,132,.7);--cta-background-color:#1539e9;--cta-background-color-trans:rgba(25,80,209,1);--cta-border-color:#1539e9;--cta-border-color-trans:#1950d1;--cta-border-width:1px;--cta-border-radius:49px;--cta-font-size:16px;--header-font-weight:500;--header-font-transform:none;--header-font-lineheight:1.2em;--header-font-lineheight-tablet:1.2em;--header-font-lineheight-mobile:1.2em;--body-text-transform:none;--body-font-size:16px;--h1-font-size:68px;--h1-font-size-tablet:48px;--h1-font-size-mobile:48px;--h2-font-size:48px;--h2-font-size-tablet:32px;--h2-font-size-mobile:32px;--h3-font-size:36px;--h3-font-size-tablet:28px;--h3-font-size-mobile:28px;--h4-font-size:26px;--h4-font-size-tablet:24px;--h4-font-size-mobile:24px;--h5-font-size:20px;--h5-font-size-tablet:18px;--h5-font-size-mobile:18px;--h6-font-size:18px;--h6-font-size-tablet:17px;--h6-font-size-mobile:17px;--active-menu-color:#175cff;--active-menu-color-trans:#fff;--cta-font-size-tablet:13px;--cta-font-size-mobile:13px;--header-font-size:17px;--body-font-size-mobile:13px;--body-font-size-tablet:13px;--footer-bottom-bg-color:#1e1e2c;--footer-widget-bg-color:#1e1e2c;--header-font-size-tablet:13px;--header-font-size-mobile:13px;--footer-bottom-text-color:#fff;--widget-title-font-weight:700;--widget-title-text-transform:none;--footer-widget-text-color:#fff;--body-font-lineheight:1.7em;--h1-font-lineheight:2.5em;--h1-font-lineheight-tablet:2.5em;--h1-font-lineheight-mobile:2.5em;--h2-font-lineheight:2em;--h2-font-lineheight-tablet:2em;--h2-font-lineheight-mobile:2em;--h3-font-lineheight:1.8em;--h3-font-lineheight-tablet:1.8em;--h3-font-lineheight-mobile:1.8em;--h4-font-lineheight:1.7em;--h4-font-lineheight-tablet:1.7em;--h4-font-lineheight-mobile:1.7em;--h5-font-lineheight:1.6em;--h5-font-lineheight-tablet:1.6em;--h5-font-lineheight-mobile:1.6em;--h6-font-lineheight:1.5em;--h6-font-lineheight-tablet:1.5em;--h6-font-lineheight-mobile:1.5em;--body-font-lineheight-tablet:1.5em;--body-font-lineheight-mobile:1.5em;--widget-title-font-size:18px;--widget-title-font-size-tablet:16px;--widget-title-font-size-mobile:16px;--widget-title-line-height:1.78em;--widget-title-line-height-tablet:1.78em;--widget-title-line-height-mobile:1.78em;--widget-text-font-weight:400;--widget-text-transform:none;--widget-text-font-size:16px;--widget-text-font-size-tablet:16px;--widget-text-font-size-mobile:16px;--widget-text-line-height:1.78em;--widget-text-line-height-tablet:1.78em;--widget-text-line-height-mobile:1.78em;}.recentcomments a{display:inline !important;padding:0 !important;margin:0 !important;}.e-con.e-parent:nth-of-type(n+4):not(.e-lazyloaded):not(.e-no-lazyload),.e-con.e-parent:nth-of-type(n+4):not(.e-lazyloaded):not(.e-no-lazyload) *{background-image:none !important;}@media screen and (max-height: 1024px){.e-con.e-parent:nth-of-type(n+3):not(.e-lazyloaded):not(.e-no-lazyload),.e-con.e-parent:nth-of-type(n+3):not(.e-lazyloaded):not(.e-no-lazyload) *{background-image:none !important;}.e-con.e-parent:nth-of-type(n+3):not(.e-lazyloaded):not(.e-no-lazyload).nitro-lazy,.e-con.e-parent:nth-of-type(n+3):not(.e-lazyloaded):not(.e-no-lazyload) *.nitro-lazy{background-image:none !important;}}@media screen and (max-height: 640px){.e-con.e-parent:nth-of-type(n+2):not(.e-lazyloaded):not(.e-no-lazyload),.e-con.e-parent:nth-of-type(n+2):not(.e-lazyloaded):not(.e-no-lazyload) *{background-image:none !important;}.e-con.e-parent:nth-of-type(n+2):not(.e-lazyloaded):not(.e-no-lazyload).nitro-lazy,.e-con.e-parent:nth-of-type(n+2):not(.e-lazyloaded):not(.e-no-lazyload) *.nitro-lazy{background-image:none !important;}}.e-con.e-parent:nth-of-type(n+4):not(.e-lazyloaded):not(.e-no-lazyload).nitro-lazy,.e-con.e-parent:nth-of-type(n+4):not(.e-lazyloaded):not(.e-no-lazyload) *.nitro-lazy{background-image:none !important;}